485BPOS

As filed with the Securities and Exchange Commission on May 11, 2018

File Nos. 333-111981

811-21488

SECURITIES AND EXCHANGE COMMISSION

WASHINGTON, D.C. 20549

FORM N-1A

REGISTRATION STATEMENT

UNDER
THE SECURITIES ACT OF 1933	☒
PRE-EFFECTIVE AMENDMENT NO.	☐
POST-EFFECTIVE AMENDMENT NO. 29	☒
And

REGISTRATION STATEMENT

UNDER
THE INVESTMENT COMPANY ACT OF 1940	☒
AMENDMENT NO. 30	☒

COHEN & STEERS

GLOBAL INFRASTRUCTURE FUND, INC.

(Exact Name Of Registrant As Specified In Charter)

280 Park Avenue, New York, NY 10017

(Address Of Principal Executive Office)

Registrant’s Telephone Number, including Area Code: (212) 832-3232

Dana DeVivo

Cohen & Steers Capital Management, Inc.

280 Park Avenue

New York, New York 10017

(Name And Address Of Agent Of Service Of Process)

With copies to:

Michael G. Doherty, Esq.

Ropes & Gray LLP

1211 Avenue of the Americas

New York, New York 10036

Approximate Date of Proposed Public Offering : As soon as practicable after the effective date of this registration statement.

It is proposed that this filing will become effective (check appropriate box):

☒ immediately upon filing pursuant to paragraph (b)

☐ on [date] pursuant to paragraph (b)

☐ 60 days after filing pursuant to paragraph (a)(1)

☐ on [date] pursuant to paragraph (a)(1)

☐ 75 days after filing pursuant to paragraph (a)(2)

☐ on [date] pursuant to paragraph (a)(2) of rule 485

If appropriate, check the following box:

☐ this post-effective amendment designates a new effective date for a previously filed post-effective amendment.

SIGNATURES

Pursuant to the requirements of the Securities Act and the 1940 Act, the Registrant certifies that it meets all the requirements for effectiveness of this Registration Statement under Rule 485(b) under the Securities Act and has duly caused this Registration Statement to be signed on its behalf by the undersigned, thereunto duly authorized, in the City of New York and State of New York, on the 11^th day of May, 2018.

                COHEN & STEERS GLOBAL INFRASTRUCTURE FUND,  INC.

By:	/s/ ADAM M. DERECHIN
	Adam M. Derechin
	President and CEO

Pursuant to the requirements of the Securities Act, this Registration Statement has been signed below by the following persons in the capacities and on the date indicated.

SIGNATURE		TITLE	DATE
By:	/s/ ADAM M. DERECHIN	President and Chief Executive Officer	May 11, 2018
	(ADAM M. DERECHIN)	(Principal Executive Officer)
By:	/s/ JAMES GIALLANZA	Chief Financial Officer (Principal Financial Officer)	May 11, 2018
	(JAMES GIALLANZA)
	*	Chairman and Director	May 11, 2018
	(ROBERT H. STEERS)
	*	Director	May 11, 2018
	(JOSEPH M. HARVEY)
	*	Director	May 11, 2018
	(MICHAEL G. CLARK)
	*	Director	May 11, 2018
	(GEORGE GROSSMAN)
	*	Director	May 11, 2018
	(DEAN JUNKANS)
	*	Director	May 11, 2018
	(JANE F. MAGPIONG)
	*	Director	May 11, 2018
	(GERALD J. MAGINNIS)
	*	Director	May 11, 2018
	(DAPHNE L. RICHARDS)
	*	Director	May 11, 2018
	(FRANK K. ROSS)
	*	Director	May 11, 2018
	(C. EDWARD WARD, JR.)

*By:	/s/ DANA DEVIVO	May 11, 2018
	Dana DeVivo
	(ATTORNEY-IN-FACT)

EXHIBIT INDEX

Index No.	Description of Exhibit
EX-101.INS	XBRL Instance Document
EX-101.SCH	XBRL Taxonomy Extension Schema Document
EX-101.CAL	XBRL Taxonomy Extension Calculation Linkbase
EX-101.DEF	XBRL Taxonomy Extension Definition Linkbase
EX-101.LAB	XBRL Taxonomy Extension Labels Linkbase
EX-101.PRE	XBRL Taxonomy Extension Presentation Linkbase

XML

Label	Element	Value
Risk/Return:	rr_RiskReturnAbstract
Document Type	dei_DocumentType	485BPOS
Document Period End Date	dei_DocumentPeriodEndDate	Dec. 31, 2017
Registrant Name	dei_EntityRegistrantName	COHEN & STEERS GLOBAL INFRASTRUCTURE FUND INC
Central Index Key	dei_EntityCentralIndexKey	0001276070
Amendment Flag	dei_AmendmentFlag	false
Document Creation Date	dei_DocumentCreationDate	Apr. 27, 2018
Document Effective Date	dei_DocumentEffectiveDate	Apr. 27, 2018
Prospectus Date	rr_ProspectusDate	May 01, 2018

XML

Cohen & Steers Global Infrastructure Fund Inc.

COHEN & STEERS GLOBAL INFRASTRUCTURE FUND, INC.

INVESTMENT OBJECTIVE

The investment objective of Cohen & Steers Global Infrastructure Fund, Inc. (the “Fund”) is total return.

FUND FEES AND EXPENSES

This table describes the fees and expenses that you could pay if you buy and hold shares of the Fund. You may qualify for sales charge discounts on Class A shares if you and your family invest, or agree to invest in the future, at least $100,000 in Cohen & Steers funds. You may qualify for sales charge discounts on Class T shares (when made available) if you invest at least $250,000 in the Fund. More information about these and other discounts is available from your financial intermediary and in “How to Purchase, Exchange and Sell Fund Shares—Purchasing the Class of Fund Shares that is Best for You” in the Fund’s prospectus (the “Prospectus”), in the Appendix to this Prospectus titled “Sales Charge Reductions and Waivers Available Through Certain Intermediaries” (the “Appendix”), “Reducing the Initial Sales Charge on Class A Shares” and “Reducing the Initial Sales Charge on Class T Shares” in the Fund’s Statement of Additional Information (the “SAI”). Class F shares and Class T shares are currently not available for purchase.

Shareholder Fees (fees paid directly from your investment):

Shareholder Fees - Cohen & Steers Global Infrastructure Fund Inc.	Class A	Class C		Class F	[1]	Class I	Class R	Class T	[1]	Class Z
Maximum Sales Charge (Load) Imposed On Purchases (as % of offering price)	4.50%	none		none		none	none	2.50%		none
Maximum Deferred Sales Charge (Load) (as % of the net asset value at the time of purchase or redemption, whichever is lower)	none	1.00%	[2]	none		none	none	none		none

Annual Fund Operating Expenses (expenses that you pay each year as a percentage of the value of your investment):

Annual Fund Operating Expenses - Cohen & Steers Global Infrastructure Fund Inc.		Class A	Class C	Class F	[1]	Class I		Class R	Class T	[1]	Class Z
Management Fee		0.75%	0.75%	0.75%		0.75%		0.75%	0.75%		0.75%
Distribution (12b-1) Fees		0.25%	0.75%	none		none		0.50%	0.25%		none
Other Expenses	[2]	0.23%	0.23%	0.23%		0.23%		0.23%	0.23%		0.23%
Shareholder Service Fee		0.10%	0.25%	none		0.07%	[3]	none	0.08%	[3]	none
Total Other Expenses	[2]	0.33%	0.48%	0.23%		0.30%		0.23%	0.31%		0.23%
Total Annual Fund Operating Expenses		1.33%	1.98%	0.98%		1.05%	[4]	1.48%	1.31%		0.98%
Fee Waiver/Expense Reimbursement		none	none	none		(0.07%)	[4]	none	none		none
Total Annual Fund Operating Expenses (after fee waiver/expense reimbursement)		1.33%	1.98%	0.98%	[5]	0.98%	[4]	1.48%	1.31%	[5]	0.98%

Example

This example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The example assumes that you invest $10,000 in the Fund for the time periods indicated and then either redeem or do not redeem your shares at the end of those periods. The example also assumes that your investment has a 5% return each year, that the Fund’s operating expenses remain the same, and that the Advisor did not waive its fee and/or reimburse expenses after June 30, 2019 (through June 30, 2019, expenses are based on the net amount pursuant to the fee waiver/expense reimbursement agreement). Although your actual costs may be higher or lower, based on these assumptions your costs would be:

Assuming redemption at the end of the period

Expense Example - Cohen & Steers Global Infrastructure Fund Inc. - USD ($)	1 Year	3 Years	5 Years	10 Years
Class A Shares	579	852	1,146	1,979
Class C Shares	301	621	1,068	2,306
Class F Shares	100	312	542	1,201
Class I Shares	100	327	573	1,276
Class R Shares	151	468	808	1,768
Class T Shares	380	655	950	1,790
Class Z Shares	100	312	542	1,201

Assuming no redemption at the end of the period

Expense Example, No Redemption - Cohen & Steers Global Infrastructure Fund Inc. - USD ($)	1 Year	3 Years	5 Years	10 Years
Class A Shares	579	852	1,146	1,979
Class C Shares	201	621	1,068	2,306
Class F Shares	100	312	542	1,201
Class I Shares	100	327	573	1,276
Class R Shares	151	468	808	1,768
Class T Shares	380	655	950	1,790
Class Z Shares	100	312	542	1,201

Portfolio Turnover

The Fund pays transaction costs, such as commissions, when it buys and sells securities (or “turns over” its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in the annual fund operating expenses or in the example, affect the Fund’s performance. During the Fund’s most recent fiscal year, the Fund’s portfolio turnover rate was 79% of the average value of its portfolio.

PRINCIPAL INVESTMENT STRATEGIES

In making investment decisions with respect to common stocks and other equity securities issued by infrastructure companies, the Advisor and the Fund’s sub-investment advisors, Cohen & Steers Asia Limited and Cohen & Steers UK Limited (the “Subadvisors”), rely on a fundamental analysis of each company. Securities are evaluated for their potential to provide an attractive total return through a combination of current income and capital appreciation. The Advisor and Subadvisors review each company’s potential for success in light of general economic and industry trends, as well as the company’s quality of management, financial condition, business plan, industry and sector market position, dividend payout ratio and corporate governance. The Advisor and Subadvisors utilize a value-oriented approach, and evaluate each company’s valuation on the basis of relative price/cash flow and price/earnings multiples, earnings growth rate, dividend yield, and price/book value, among other metrics.

Under normal market conditions, the Fund invests at least 80% of its total assets in U.S. and non-U.S. common stocks and other equity securities issued by infrastructure companies, which consist of utilities, pipelines, toll roads, airports, railroads, marine ports, telecommunications companies and other infrastructure companies. The Fund may invest in infrastructure securities that in certain instances are structured as Real Estate Investment Trusts (“REITs”). Under normal market conditions, the Fund invests at least 40%, unless market conditions are not deemed favorable by the Advisor, in which case the Fund would invest at least 30%, of its total assets in companies organized or located outside the U.S. or doing a substantial amount of business outside of the U.S. The Fund will invest in infrastructure companies primarily in developed countries, but may invest in securities of infrastructure companies domiciled in emerging market countries. Typically, emerging markets are in countries that are in the process of industrialization, with lower gross national products per capita than more developed countries. Accordingly, the Fund will hold securities and instruments denominated in non-U.S. currencies, or sponsored and unsponsored depositary receipts for such securities.

Infrastructure companies are companies that derive at least 50% of their revenues from, or have at least 50% of their assets committed to, the management, ownership, operation, construction, development or financing of assets used in connection with: the generation, production, transmission, sale or distribution of electric energy, natural gas, natural gas liquids (including propane), crude oil, refined petroleum products, coal or other energy sources; the distribution, purification and treatment of water; provision of communications services, including cable television, satellite, microwave, radio, telephone and other communications media; or the provision of transportation services, including toll roads, airports, railroads or marine ports. Infrastructure companies also include companies organized as master limited partnerships (“MLPs”) and their affiliates, and the Fund may invest up to 25% of its total assets in these energy-related MLPs and their affiliates.

The Fund may invest up to 20% of its net assets in preferred securities and other fixed-income securities, including preferred stock, hybrid-preferred securities, corporate debt obligations and debt securities issued or guaranteed by the U.S. government or its agencies or instrumentalities. The Fund may also invest up to 20% of its net assets in below investment grade securities. A security will be considered to be investment grade if it is rated as such by one nationally recognized statistical rating organization (for example, minimum Baa3 or BBB- by Moody’s or S&P, respectively) or, if unrated, is judged to be investment grade by the Advisor or a Subadvisor. Below investment grade quality securities, or securities that are unrated but judged to be below investment grade by the Advisor, are commonly referred to as “high yield” or “junk” securities

The Fund has adopted a fundamental policy (which cannot be changed without shareholder approval) whereby the Fund may not invest more than 25% of its net assets in securities of issuers in any one industry, except for securities in infrastructure companies.

The Fund may engage in foreign currency transactions, including foreign currency forward contracts, futures contracts, options, swaps and other similar strategic transactions in connection with its investments in securities of non-U.S. companies.  The Fund's primary use of foreign currency transactions will be to reduce the foreign currency risk inherent in the Fund's investments.

PRINCIPAL RISKS OF INVESTING IN THE FUND

Investment Risk

An investment in the Fund is subject to investment risk, including the possible loss of the entire principal amount that you invest.

Market Risk

Your investment in Fund shares represents an indirect investment in the securities owned by the Fund. The value of these securities, like other investments, may move up or down, sometimes rapidly and unpredictably. Your Fund shares at any point in time may be worth less than what you invested, even after taking into account the reinvestment of Fund dividends and distributions.

Common Stock Risk

While common stocks have historically generated higher average returns than fixed-income securities over the long-term, common stocks have also experienced significantly more volatility in those returns, although under certain market conditions, fixed-income investments may have comparable or greater price volatility. The value of common stocks and other equity securities will fluctuate in response to developments concerning the company, political and regulatory circumstances, the stock market and the economy. In the short term, stock prices can fluctuate dramatically in response to these developments. Different parts of the market and different types of equity securities can react differently to these developments. For example, stocks of large companies can react differently than stocks of smaller companies, and value stocks (stocks of companies that are undervalued by various measures and have potential for long-term capital appreciation), can react differently from growth stocks (stocks of companies with attractive cash flow returns on invested capital and earnings that are expected to grow). These developments can affect a single company, all companies within the same industry, economic sector or geographic region, or the stock market as a whole.

Infrastructure Companies Risk

Securities and instruments of infrastructure companies are more susceptible to adverse economic or regulatory occurrences affecting their industries. Infrastructure companies may be subject to a variety of factors that may adversely affect their business or operations, including high interest costs in connection with capital construction and improvement programs, high leverage, costs associated with environmental and other regulations, the effects of economic slowdown, surplus capacity, increased competition from other providers of services, uncertainties concerning the availability of fuel at reasonable prices, the effects of energy conservation policies and other factors. Infrastructure companies may also be affected by or subject to:

• high interest costs in connection with capital construction and improvement programs;

• difficulty in raising capital in adequate amounts on reasonable terms in periods of high inflation and unsettled capital markets;

• inexperience with and potential losses resulting from a developing deregulatory environment;

• costs associated with compliance with and changes in environmental and other regulations;

• regulation or adverse actions by various government authorities;

• government regulation of rates charged to customers;

• service interruption due to environmental, operational or other mishaps;

• the imposition of special tariffs and changes in tax laws, regulatory policies and accounting standards;

• technological innovations that may render existing plants, equipment or products obsolete; and

• general changes in market sentiment towards infrastructure and utilities assets.

Foreign (Non-U.S.) and Emerging Market Securities Risk

Risks of investing in foreign securities, which can be expected to be greater for investments in emerging markets, include currency risks, future political and economic developments and possible imposition of foreign withholding or other taxes on income or proceeds payable on the securities. In addition, there may be less publicly available information about a foreign issuer than about a domestic issuer, and foreign issuers may not be subject to the same accounting, auditing and financial recordkeeping standards and requirements as domestic issuers.

Securities of companies in emerging markets may be more volatile than those of companies in more developed markets. Emerging market countries generally have less developed markets and economies and in some countries, less mature governments and governmental institutions. Political developments in foreign countries or the United States may at times subject such countries to sanctions from the U.S. government, foreign governments and/or international institutions that could negatively affect a Fund’s investments in issuers located in, doing business in or with assets in such countries. Investing in securities of companies in emerging markets may entail special risks relating to potential economic, political or social instability and the risks of expropriation, nationalization, confiscation, trade sanctions or embargoes or the imposition of restrictions on foreign investment, the lack of hedging instruments, and repatriation of capital invested. The securities and markets of some emerging market countries have in the past experienced substantial market disruptions and may do so in the future. The economies of many emerging market countries may be heavily dependent on international trade and have thus been, and may continue to be, adversely affected by trade barriers, foreign exchange controls and other protectionist measures imposed or negotiated by the countries with which they wish to trade.

Foreign Currency and Currency Hedging Risk

Although the Fund will report its net asset value (“NAV”) and pay dividends in U.S. dollars, foreign securities often are purchased with and make any dividend and interest payments in foreign currencies. Therefore, the Fund’s investments in foreign securities will be subject to foreign currency risk, which means that the Fund’s NAV could decline solely as a result of changes in the exchange rates between foreign currencies and the U.S. dollar. Certain foreign countries may impose restrictions on the ability of issuers of foreign securities to make payment of principal, dividends and interest to investors located outside the country, due to blockage of foreign currency exchanges or otherwise.

The Fund may, but is not required to, engage in various investments that are designed to hedge the Fund’s foreign currency risks, including foreign currency forward contracts, foreign currency futures contracts, put and call options on foreign currencies and foreign currency swaps. Such transactions may reduce returns or increase volatility, perhaps substantially.

Master Limited Partnership Risk

An investment in MLP units involves some risks that differ from an investment in the common stock of a corporation. Holders of MLP units have limited control on matters affecting the partnership. Investing in MLPs involves certain risks related to investing in the underlying assets of the MLPs and risks associated with pooled investment vehicles. MLPs holding credit-related investments are subject to interest rate risk and the risk of default on payment obligations by debt issuers. MLPs that concentrate in a particular industry or industry sector (for example, the energy sector) or a particular geographic region are subject to risks associated with such industry, sector or region. The benefit derived from the Fund’s investment in MLPs is largely dependent on the MLPs being treated as partnerships for federal income tax purposes.

Preferred Securities Risk

There are various risks associated with investing in preferred securities. These risks include deferral and omission of distributions; credit risk; subordination to bonds and other debt securities in a company’s capital structure; interest rate risk; prepayment and extension risk; call, reinvestment and income risk; liquidity risk; limited voting rights; and special redemption rights.

Credit and Below Investment Grade Securities Risk

Credit risk is the risk that a security in the Fund’s portfolio will decline in price or the issuer will fail to make dividend, interest or principal payments when due because the issuer of the security experiences a decline in its financial status. Lower-rated securities, or equivalent unrated securities, which are commonly known as “high-yield bonds” or “junk bonds,” generally involve greater volatility of price and risk of loss of income and principal, and may be more susceptible to real or perceived adverse economic and competitive industry conditions than higher grade securities. It is reasonable to expect that any adverse economic conditions could disrupt the market for lower-rated securities, have an adverse impact on the value of those securities and adversely affect the ability of the issuers of those securities to repay principal and interest on those securities.

REIT Risk

REITs generally are dependent upon management skills and may not be diversified. REITs are also subject to heavy cash flow dependency, defaults by borrowers and self-liquidation. In addition, REITs could possibly fail to qualify for favorable tax treatment under applicable tax law. Various factors may also adversely affect a borrower’s or a lessee’s ability to meet its obligations to the REIT. In the event of a default by a borrower or lessee, the REIT may experience delays in enforcing its rights as a mortgagee or lessor and may incur substantial costs associated with protecting its investments.

Active Management Risk

As an actively managed portfolio, the value of the Fund’s investments could decline because the financial condition of an issuer may change (due to such factors as management performance, reduced demand or overall market changes), financial markets may fluctuate or overall prices may decline, or the Advisor’s investment techniques could fail to achieve the Fund’s investment objective or negatively affect the Fund’s investment performance.

Geopolitical Risk

Occurrence of global events similar to those in recent years, such as war, terrorist attacks, natural disasters, country instability, infectious disease epidemics, market instability, debt crises and downgrades, embargoes, tariffs, sanctions and other trade barriers and other governmental trade or market control programs, the potential exit of a country from its respective union and related geopolitical events, may result in market volatility and may have long-lasting impacts on both the U.S. and global financial markets. Additionally, those events, as well as other changes in foreign and domestic political and economic conditions, could adversely affect individual issuers or related groups of issuers, securities markets, interest rates, secondary trading, credit ratings, inflation, investor sentiment and other factors affecting the value of the Fund’s investments. The decision of the United Kingdom ("UK") to exit from the European Union following the June 2016 vote on the matter (referred to as “Brexit”) may cause uncertainty and thus adversely impact financial results of the Fund and the global financial markets. Growing tensions between the United States and other foreign powers, or among foreign powers, and possible diplomatic, trade or other sanctions could adversely impact the markets and the Fund. The strengthening or weakening of the U.S. dollar relative to other currencies may, among other things, adversely affect the Fund’s investments denominated in non-U.S. dollar currencies. It is difficult to predict when similar events affecting the U.S. or global financial markets may occur, the effects that such events may have, and the duration of those effects.

Regulatory Risk

The U.S. government has proposed and adopted multiple regulations that could have a long-lasting impact on the Fund and on the mutual fund industry in general. The Department of Labor's (“DOL”) final rule on conflicts of interest on fiduciary investment advice, as well as the Securities and Exchange Commission's (“SEC”) final rules and amendments to modernize reporting and disclosure and to develop and implement a Liquidity Risk Management Program for open-end investment companies could, among other things, restrict and/or increase the cost of the Fund’s ability to engage in transactions, impact flows into the Fund and/or increase overall expenses of the Fund. In addition, Congress, various exchanges and regulatory and self-regulatory authorities, both domestic and foreign, have undertaken reviews of options and futures trading in light of market volatility. Among the actions that have been taken or proposed to be taken are new limits and reporting requirements for speculative positions, new or more stringent daily price fluctuation limits for futures and options transactions, and increased margin requirements for various types of futures transactions. While the full extent of all of these regulations is still unclear, these regulations and actions may adversely affect the instruments in which the Fund invests and its ability to execute its investment strategy. Similarly, regulatory developments in other countries may have an unpredictable and adverse impact on the Fund.

Cyber Security Risk

With the increased use of technologies such as the Internet and the dependence on computer systems to perform necessary business functions, the Fund and its service providers (including the Advisor and Subadvisors) may be susceptible to operational and information security risks resulting from cyber-attacks and/or other technological malfunctions. In general, cyber-attacks are deliberate, but unintentional events may have similar effects. Cyber-attacks include, among others, stealing or corrupting data maintained online or digitally, preventing legitimate users from accessing information or services on a website, releasing confidential information without authorization, gaining unauthorized access to digital systems for purposes of misappropriating assets and causing operational disruption. Cyber-attacks may also be carried out in a manner that does not require gaining unauthorized access, such as causing denial-of-service. Successful cyber-attacks against, or security breakdowns of, the Fund, the Advisor, the Subadvisors, or a custodian, transfer agent, or other affiliated or third-party service provider may adversely affect the Fund or its shareholders.

Each of the Fund, the Advisor and the Subadvisors may have limited ability to prevent or mitigate cyber-attacks or security or technology breakdowns affecting the Fund’s third-party service providers. While the Fund has established business continuity plans and systems designed to prevent or reduce the impact of cyber-attacks, such plans and systems are subject to inherent limitations.

Large Shareholder Risk

The Fund may have one or more large shareholders or a group of shareholders investing in classes of Fund shares indirectly through an account, platform or program sponsored by a financial institution. Investment and asset allocation decisions by such financial institutions regarding the account, platform or program through which multiple shareholders invest may result in subscription and redemption decisions that have a significant impact on the assets, expenses and trading activities of the Fund. Such a decision may cause the Fund to sell assets (or invest cash) at disadvantageous times or prices, increase or accelerate taxable gains or transaction costs and may negatively affect the Fund’s NAV, performance, or ability to satisfy redemptions in a timely manner.

Other Investment Companies Risk

To the extent the Fund invests a portion of its assets in investment companies, including open-end funds, closed-end funds, ETFs and other types of pooled investment funds, those assets will be subject to the risks of the purchased investment funds’ portfolio securities, and a shareholder in the Fund will bear not only his or her proportionate share of the Fund’s expenses, but also indirectly the expenses of the purchased investment funds. Shareholders would therefore be subject to duplicative expenses to the extent the Fund invests in other investment funds. Risks associated with investments in closed-end funds also generally include market risk, leverage risk, risk of market price discount from NAV, risk of anti-takeover provisions and non-diversification. In addition, restrictions under the Investment Company Act of 1940 (“1940 Act”) may limit the Fund’s ability to invest in other investment companies to the extent desired.

Your investment in the Fund is not a deposit of any bank and is not insured or guaranteed by the Federal Deposit Insurance Corporation or any other government agency.

FUND PERFORMANCE

The following bar chart and table provide some indication of the risks of investing in the Fund. The bar chart shows changes in the Fund’s performance from year to year for Class A shares. Because Class F shares and Class T shares are currently not available for purchase, and have therefore not commenced investment operations, no performance information is provided for these share classes. The table shows how the Fund’s average annual returns compare with the performance of a selected broad-based market index, the S&P 500 Index, over various time periods. In addition to the broad-based market index, the table shows performance of the Linked Global Infrastructure Index-Net, which is represented by the performance of the S&P 1500 Utilities Index since inception through March 31, 2008; the Macquarie Global Infrastructure Index from April 1, 2008 through May 31, 2008; the UBS Global 50/50 Infrastructure & Utilities Index Net from June 1, 2008 to March 31, 2015; and the FTSE Global Core Infrastructure 50/50 Net Tax Index thereafter. The S&P 1500 Utilities Index is an unmanaged market-capitalization weighted index of 60 companies whose primary business involves the generation, transmission and/or distribution of electricity and/or natural gas. The Macquarie Global Infrastructure Index is a capitalization-weighted global infrastructure index containing all publicly quoted infrastructure-related stocks that are members of the FTSE Global Equity Index Series with market capitalization exceeding $250 million. The UBS Global 50/50 Infrastructure & Utilities Index Net tracks the performance of global infrastructure-related securities, split evenly between utilities and infrastructure and is net of dividend withholding. The FTSE Global Core Infrastructure 50/50 Net Tax Index is a market-capitalization-weighted index of the worldwide infrastructure and infrastructure-related securities. Constituent weights are adjusted semi-annually according to three broad industry sectors: 50% utilities, 30% transportation, and a 20% mix of other sectors, including pipelines, satellites and telecommunication towers. The Advisor believes that these indexes, as compared to the broad-based market index, are comprised of securities that are more representative of the Fund’s investment strategy. Past performance (both before and after taxes) is not, however, an indication as to how the Fund may perform in the future. Updated performance information, including the Fund’s NAV per share, is available at www.cohenandsteers.com or by calling (800) 330-7348.

Prior to April 1, 2008, the Fund’s name was “Cohen & Steers Utility Fund, Inc.,” and normally the Fund invested at least 80% of its assets in common stocks and other equity securities issued by companies engaged in the utilities industry (utility companies); investments in foreign issuers were limited to 20% of its total assets. The performance of the Fund for periods prior to that date reflects performance under the old investment strategy.

The bar chart does not reflect the deduction of sales charges imposed on Class A shares; if these amounts were reflected, returns would be less than those shown.

Class A Shares
Annual Total Returns

Highest quarterly return during this period:    16.05% (quarter ended September 30, 2009)
Lowest quarterly return during this period:    -19.29% (quarter ended September 30, 2008)

Average Annual Total Returns
(for the periods ended December 31, 2017)

Average Annual Total Returns - Cohen & Steers Global Infrastructure Fund Inc.		1 Year	5 Years		10 Years		Inception Date
Class A Shares		13.55%	8.25%		3.29%
Class A Shares | Return After Taxes on Distributions		12.04%	7.51%		2.90%
Class A Shares | Return After Taxes on Distributions and Sale of Fund Shares		8.88%	6.48%		2.70%
Class C Shares		17.19%	8.55%		3.10%
Class I Shares		19.30%	9.60%		4.11%
Class R Shares		18.70%		[1]		[1]	Oct. 01, 2014
Class Z Shares		19.30%		[1]		[1]	Oct. 01, 2014
Linked Global Infrastructure Index - Net (reflects no deduction for fees, expenses or taxes)	[2]	18.39%	10.07%		3.23%
S&P 500® Index (reflects no deduction for fees, expenses or taxes)	[3]	21.83%	15.79%		8.50%

After-tax returns are shown for Class A shares only. After-tax returns for Class C, I, R, and Z shares will vary.  Class F shares and Class T shares are currently not available for purchase. After-tax returns are calculated using the historical highest individual federal marginal income tax rates, and do not reflect the impact of state and local taxes. Actual after-tax returns depend on the investor’s tax situation and may differ from those shown, and the after-tax returns shown are not relevant to investors who hold their shares through tax-advantaged arrangements such as 401(k) plans or individual retirement accounts.

[1] Class F shares and Class T shares are currently not available for purchase.

[2] For Class C shares, the maximum deferred sales charge does not apply after one year.

[1] Class F shares and Class T shares are currently not available for purchase.

[2] Other expenses have been restated to reflect contractual changes to the administration fee paid by the Fund to Cohen & Steers Capital Management, Inc., the Fund's Investment Advisor, and other contractual changes to fees paid by the Fund.

[3] The maximum shareholder service fee for Class I shares and Class T shares is 0.10%.

[4] Cohen & Steers Capital Management, Inc., the Fund’s investment advisor (the “Advisor”), has contractually agreed to waive its fee and/or reimburse the Fund's Class I shareholder service fee through June 30, 2019, up to the maximum shareholder service fee of 0.10%. This contractual agreement can be amended at any time by the agreement of the Fund's Board of Directors and the Advisor and will terminate automatically in the event of termination of the investment advisory agreement between the Fund and the Advisor.

[5] The total annual fund operating expenses for Class F shares and Class T shares are estimated.

[1] The annual total returns for Class C, I, R and Z shares of the Fund are substantially similar to the annual total returns of Class A shares because the assets of all classes are invested in the same portfolio of securities. The annual total returns differ only to the extent that the classes do not have the same expenses. Class F shares and Class T shares are currently not available for purchase.

[1] The inception date for Class R and Class Z shares is October 1, 2014. Since inception and through December 31, 2017, Class R shares and Class Z shares had a return before taxes of of 5.62% and 6.14%, respectively.

[2] The Linked Global Infrastructure Index Net is represented by the performance of the S&P 1500 Utilities Index since inception through March 31, 2008; the Macquarie Global Infrastructure Index from April 1, 2008 through May 31, 2008; the UBS Global 50/50 Infrastructure & Utilities Index (net) from June 1, 2008 through March 31, 2015; and the FTSE Global Core Infrastructure 50/50 Net Tax Index thereafter and is net of withholding taxes. The S&P 1500 Utilities Index is an unmanaged market-capitalization weighted index of 60 companies whose primary business involves the generation, transmission and/or distribution of electricity and/or natural gas. The Macquarie Global Infrastructure Index is a capitalization-weighted global infrastructure index containing all publicly quoted infrastructure-related stocks that are members of the FTSE Global Equity Index Series with market capitalization exceeding $250 million. The UBS Global 50/50 Infrastructure & Utilities Index Net tracks the performance of global infrastructure-related securities, split evenly between utilities and infrastructure and is net of dividend witholding taxes. The FTSE Global Core Infrastructure 50/50 Net Tax Index is a market-capitalization-weighted index of the worldwide infrastructure and infrastructure-related securities. Constituent weights are adjusted semi-annually according to three broad industry sectors: 50% utilities, 30% transportation, and a 20% mix of other sectors, including pipelines, satellites and telecommunication towers.

[3] The S&P 500 Index is an unmanaged index of common stocks that is frequently used as a general measure of U.S. stock market performance.

XML

Label	Element	Value
Risk/Return:	rr_RiskReturnAbstract
Registrant Name	dei_EntityRegistrantName	COHEN & STEERS GLOBAL INFRASTRUCTURE FUND INC
Prospectus Date	rr_ProspectusDate	May 01, 2018
Cohen & Steers Global Infrastructure Fund Inc.
Risk/Return:	rr_RiskReturnAbstract
Risk/Return [Heading]	rr_RiskReturnHeading	COHEN & STEERS GLOBAL INFRASTRUCTURE FUND, INC.
Objective [Heading]	rr_ObjectiveHeading	INVESTMENT OBJECTIVE
Objective, Primary [Text Block]	rr_ObjectivePrimaryTextBlock	The investment objective of Cohen & Steers Global Infrastructure Fund, Inc. (the “Fund”) is total return.
Expense [Heading]	rr_ExpenseHeading	FUND FEES AND EXPENSES
Expense Narrative [Text Block]	rr_ExpenseNarrativeTextBlock	This table describes the fees and expenses that you could pay if you buy and hold shares of the Fund. You may qualify for sales charge discounts on Class A shares if you and your family invest, or agree to invest in the future, at least $100,000 in Cohen & Steers funds. You may qualify for sales charge discounts on Class T shares (when made available) if you invest at least $250,000 in the Fund. More information about these and other discounts is available from your financial intermediary and in “How to Purchase, Exchange and Sell Fund Shares—Purchasing the Class of Fund Shares that is Best for You” in the Fund’s prospectus (the “Prospectus”), in the Appendix to this Prospectus titled “Sales Charge Reductions and Waivers Available Through Certain Intermediaries” (the “Appendix”), “Reducing the Initial Sales Charge on Class A Shares” and “Reducing the Initial Sales Charge on Class T Shares” in the Fund’s Statement of Additional Information (the “SAI”). Class F shares and Class T shares are currently not available for purchase.
Shareholder Fees Caption [Text]	rr_ShareholderFeesCaption	Shareholder Fees (fees paid directly from your investment):
Operating Expenses Caption [Text]	rr_OperatingExpensesCaption	Annual Fund Operating Expenses (expenses that you pay each year as a percentage of the value of your investment):
Fee Waiver or Reimbursement over Assets, Date of Termination	rr_FeeWaiverOrReimbursementOverAssetsDateOfTermination	June 30, 2019
Portfolio Turnover [Heading]	rr_PortfolioTurnoverHeading	Portfolio Turnover
Portfolio Turnover [Text Block]	rr_PortfolioTurnoverTextBlock	The Fund pays transaction costs, such as commissions, when it buys and sells securities (or “turns over” its portfolio). A higher portfolio turnover rate may indicate higher transaction costs and may result in higher taxes when Fund shares are held in a taxable account. These costs, which are not reflected in the annual fund operating expenses or in the example, affect the Fund’s performance. During the Fund’s most recent fiscal year, the Fund’s portfolio turnover rate was 79% of the average value of its portfolio.
Portfolio Turnover, Rate	rr_PortfolioTurnoverRate	79.00%
Expenses Deferred Charges [Text Block]	rr_ExpensesDeferredChargesTextBlock	For Class C shares, the maximum deferred sales charge does not apply after one year.
Expense Breakpoint Discounts [Text]	rr_ExpenseBreakpointDiscounts	You may qualify for sales charge discounts on Class A shares if you and your family invest, or agree to invest in the future, at least $100,000 in Cohen & Steers funds. You may qualify for sales charge discounts on Class T shares (when made available) if you invest at least $250,000 in the Fund.
Expenses Restated to Reflect Current [Text]	rr_ExpensesRestatedToReflectCurrent	Other expenses have been restated to reflect contractual changes to the administration fee paid by the Fund to Cohen & Steers Capital Management, Inc., the Fund's Investment Advisor, and other contractual changes to fees paid by the Fund.
Expense Example [Heading]	rr_ExpenseExampleHeading	Example
Expense Example Narrative [Text Block]	rr_ExpenseExampleNarrativeTextBlock	This example is intended to help you compare the cost of investing in the Fund with the cost of investing in other mutual funds. The example assumes that you invest $10,000 in the Fund for the time periods indicated and then either redeem or do not redeem your shares at the end of those periods. The example also assumes that your investment has a 5% return each year, that the Fund’s operating expenses remain the same, and that the Advisor did not waive its fee and/or reimburse expenses after June 30, 2019 (through June 30, 2019, expenses are based on the net amount pursuant to the fee waiver/expense reimbursement agreement). Although your actual costs may be higher or lower, based on these assumptions your costs would be:
Expense Example by, Year, Caption [Text]	rr_ExpenseExampleByYearCaption	Assuming redemption at the end of the period
Expense Example, No Redemption, By Year, Caption [Text]	rr_ExpenseExampleNoRedemptionByYearCaption	Assuming no redemption at the end of the period
Strategy [Heading]	rr_StrategyHeading	PRINCIPAL INVESTMENT STRATEGIES
Strategy Narrative [Text Block]	rr_StrategyNarrativeTextBlock	In making investment decisions with respect to common stocks and other equity securities issued by infrastructure companies, the Advisor and the Fund’s sub-investment advisors, Cohen & Steers Asia Limited and Cohen & Steers UK Limited (the “Subadvisors”), rely on a fundamental analysis of each company. Securities are evaluated for their potential to provide an attractive total return through a combination of current income and capital appreciation. The Advisor and Subadvisors review each company’s potential for success in light of general economic and industry trends, as well as the company’s quality of management, financial condition, business plan, industry and sector market position, dividend payout ratio and corporate governance. The Advisor and Subadvisors utilize a value-oriented approach, and evaluate each company’s valuation on the basis of relative price/cash flow and price/earnings multiples, earnings growth rate, dividend yield, and price/book value, among other metrics. Under normal market conditions, the Fund invests at least 80% of its total assets in U.S. and non-U.S. common stocks and other equity securities issued by infrastructure companies, which consist of utilities, pipelines, toll roads, airports, railroads, marine ports, telecommunications companies and other infrastructure companies. The Fund may invest in infrastructure securities that in certain instances are structured as Real Estate Investment Trusts (“REITs”). Under normal market conditions, the Fund invests at least 40%, unless market conditions are not deemed favorable by the Advisor, in which case the Fund would invest at least 30%, of its total assets in companies organized or located outside the U.S. or doing a substantial amount of business outside of the U.S. The Fund will invest in infrastructure companies primarily in developed countries, but may invest in securities of infrastructure companies domiciled in emerging market countries. Typically, emerging markets are in countries that are in the process of industrialization, with lower gross national products per capita than more developed countries. Accordingly, the Fund will hold securities and instruments denominated in non-U.S. currencies, or sponsored and unsponsored depositary receipts for such securities. Infrastructure companies are companies that derive at least 50% of their revenues from, or have at least 50% of their assets committed to, the management, ownership, operation, construction, development or financing of assets used in connection with: the generation, production, transmission, sale or distribution of electric energy, natural gas, natural gas liquids (including propane), crude oil, refined petroleum products, coal or other energy sources; the distribution, purification and treatment of water; provision of communications services, including cable television, satellite, microwave, radio, telephone and other communications media; or the provision of transportation services, including toll roads, airports, railroads or marine ports. Infrastructure companies also include companies organized as master limited partnerships (“MLPs”) and their affiliates, and the Fund may invest up to 25% of its total assets in these energy-related MLPs and their affiliates. The Fund may invest up to 20% of its net assets in preferred securities and other fixed-income securities, including preferred stock, hybrid-preferred securities, corporate debt obligations and debt securities issued or guaranteed by the U.S. government or its agencies or instrumentalities. The Fund may also invest up to 20% of its net assets in below investment grade securities. A security will be considered to be investment grade if it is rated as such by one nationally recognized statistical rating organization (for example, minimum Baa3 or BBB- by Moody’s or S&P, respectively) or, if unrated, is judged to be investment grade by the Advisor or a Subadvisor. Below investment grade quality securities, or securities that are unrated but judged to be below investment grade by the Advisor, are commonly referred to as “high yield” or “junk” securities The Fund has adopted a fundamental policy (which cannot be changed without shareholder approval) whereby the Fund may not invest more than 25% of its net assets in securities of issuers in any one industry, except for securities in infrastructure companies. The Fund may engage in foreign currency transactions, including foreign currency forward contracts, futures contracts, options, swaps and other similar strategic transactions in connection with its investments in securities of non-U.S. companies.  The Fund's primary use of foreign currency transactions will be to reduce the foreign currency risk inherent in the Fund's investments.
Strategy Portfolio Concentration [Text]	rr_StrategyPortfolioConcentration	Under normal market conditions, the Fund invests at least 80% of its total assets in U.S. and non-U.S. common stocks and other equity securities issued by infrastructure companies, which consist of utilities, pipelines, toll roads, airports, railroads, marine ports, telecommunications companies and other infrastructure companies.
Risk [Heading]	rr_RiskHeading	PRINCIPAL RISKS OF INVESTING IN THE FUND
Risk Narrative [Text Block]	rr_RiskNarrativeTextBlock	Investment Risk An investment in the Fund is subject to investment risk, including the possible loss of the entire principal amount that you invest. Market Risk Your investment in Fund shares represents an indirect investment in the securities owned by the Fund. The value of these securities, like other investments, may move up or down, sometimes rapidly and unpredictably. Your Fund shares at any point in time may be worth less than what you invested, even after taking into account the reinvestment of Fund dividends and distributions. Common Stock Risk While common stocks have historically generated higher average returns than fixed-income securities over the long-term, common stocks have also experienced significantly more volatility in those returns, although under certain market conditions, fixed-income investments may have comparable or greater price volatility. The value of common stocks and other equity securities will fluctuate in response to developments concerning the company, political and regulatory circumstances, the stock market and the economy. In the short term, stock prices can fluctuate dramatically in response to these developments. Different parts of the market and different types of equity securities can react differently to these developments. For example, stocks of large companies can react differently than stocks of smaller companies, and value stocks (stocks of companies that are undervalued by various measures and have potential for long-term capital appreciation), can react differently from growth stocks (stocks of companies with attractive cash flow returns on invested capital and earnings that are expected to grow). These developments can affect a single company, all companies within the same industry, economic sector or geographic region, or the stock market as a whole. Infrastructure Companies Risk Securities and instruments of infrastructure companies are more susceptible to adverse economic or regulatory occurrences affecting their industries. Infrastructure companies may be subject to a variety of factors that may adversely affect their business or operations, including high interest costs in connection with capital construction and improvement programs, high leverage, costs associated with environmental and other regulations, the effects of economic slowdown, surplus capacity, increased competition from other providers of services, uncertainties concerning the availability of fuel at reasonable prices, the effects of energy conservation policies and other factors. Infrastructure companies may also be affected by or subject to: high interest costs in connection with capital construction and improvement programs; difficulty in raising capital in adequate amounts on reasonable terms in periods of high inflation and unsettled capital markets; inexperience with and potential losses resulting from a developing deregulatory environment; costs associated with compliance with and changes in environmental and other regulations; regulation or adverse actions by various government authorities; government regulation of rates charged to customers; service interruption due to environmental, operational or other mishaps; the imposition of special tariffs and changes in tax laws, regulatory policies and accounting standards; technological innovations that may render existing plants, equipment or products obsolete; and general changes in market sentiment towards infrastructure and utilities assets. Foreign (Non-U.S.) and Emerging Market Securities Risk Risks of investing in foreign securities, which can be expected to be greater for investments in emerging markets, include currency risks, future political and economic developments and possible imposition of foreign withholding or other taxes on income or proceeds payable on the securities. In addition, there may be less publicly available information about a foreign issuer than about a domestic issuer, and foreign issuers may not be subject to the same accounting, auditing and financial recordkeeping standards and requirements as domestic issuers. Securities of companies in emerging markets may be more volatile than those of companies in more developed markets. Emerging market countries generally have less developed markets and economies and in some countries, less mature governments and governmental institutions. Political developments in foreign countries or the United States may at times subject such countries to sanctions from the U.S. government, foreign governments and/or international institutions that could negatively affect a Fund’s investments in issuers located in, doing business in or with assets in such countries. Investing in securities of companies in emerging markets may entail special risks relating to potential economic, political or social instability and the risks of expropriation, nationalization, confiscation, trade sanctions or embargoes or the imposition of restrictions on foreign investment, the lack of hedging instruments, and repatriation of capital invested. The securities and markets of some emerging market countries have in the past experienced substantial market disruptions and may do so in the future. The economies of many emerging market countries may be heavily dependent on international trade and have thus been, and may continue to be, adversely affected by trade barriers, foreign exchange controls and other protectionist measures imposed or negotiated by the countries with which they wish to trade. Foreign Currency and Currency Hedging Risk Although the Fund will report its net asset value (“NAV”) and pay dividends in U.S. dollars, foreign securities often are purchased with and make any dividend and interest payments in foreign currencies. Therefore, the Fund’s investments in foreign securities will be subject to foreign currency risk, which means that the Fund’s NAV could decline solely as a result of changes in the exchange rates between foreign currencies and the U.S. dollar. Certain foreign countries may impose restrictions on the ability of issuers of foreign securities to make payment of principal, dividends and interest to investors located outside the country, due to blockage of foreign currency exchanges or otherwise. The Fund may, but is not required to, engage in various investments that are designed to hedge the Fund’s foreign currency risks, including foreign currency forward contracts, foreign currency futures contracts, put and call options on foreign currencies and foreign currency swaps. Such transactions may reduce returns or increase volatility, perhaps substantially. Master Limited Partnership Risk An investment in MLP units involves some risks that differ from an investment in the common stock of a corporation. Holders of MLP units have limited control on matters affecting the partnership. Investing in MLPs involves certain risks related to investing in the underlying assets of the MLPs and risks associated with pooled investment vehicles. MLPs holding credit-related investments are subject to interest rate risk and the risk of default on payment obligations by debt issuers. MLPs that concentrate in a particular industry or industry sector (for example, the energy sector) or a particular geographic region are subject to risks associated with such industry, sector or region. The benefit derived from the Fund’s investment in MLPs is largely dependent on the MLPs being treated as partnerships for federal income tax purposes. Preferred Securities Risk There are various risks associated with investing in preferred securities. These risks include deferral and omission of distributions; credit risk; subordination to bonds and other debt securities in a company’s capital structure; interest rate risk; prepayment and extension risk; call, reinvestment and income risk; liquidity risk; limited voting rights; and special redemption rights. Credit and Below Investment Grade Securities Risk Credit risk is the risk that a security in the Fund’s portfolio will decline in price or the issuer will fail to make dividend, interest or principal payments when due because the issuer of the security experiences a decline in its financial status. Lower-rated securities, or equivalent unrated securities, which are commonly known as “high-yield bonds” or “junk bonds,” generally involve greater volatility of price and risk of loss of income and principal, and may be more susceptible to real or perceived adverse economic and competitive industry conditions than higher grade securities. It is reasonable to expect that any adverse economic conditions could disrupt the market for lower-rated securities, have an adverse impact on the value of those securities and adversely affect the ability of the issuers of those securities to repay principal and interest on those securities. REIT Risk REITs generally are dependent upon management skills and may not be diversified. REITs are also subject to heavy cash flow dependency, defaults by borrowers and self-liquidation. In addition, REITs could possibly fail to qualify for favorable tax treatment under applicable tax law. Various factors may also adversely affect a borrower’s or a lessee’s ability to meet its obligations to the REIT. In the event of a default by a borrower or lessee, the REIT may experience delays in enforcing its rights as a mortgagee or lessor and may incur substantial costs associated with protecting its investments. Active Management Risk As an actively managed portfolio, the value of the Fund’s investments could decline because the financial condition of an issuer may change (due to such factors as management performance, reduced demand or overall market changes), financial markets may fluctuate or overall prices may decline, or the Advisor’s investment techniques could fail to achieve the Fund’s investment objective or negatively affect the Fund’s investment performance. Geopolitical Risk Occurrence of global events similar to those in recent years, such as war, terrorist attacks, natural disasters, country instability, infectious disease epidemics, market instability, debt crises and downgrades, embargoes, tariffs, sanctions and other trade barriers and other governmental trade or market control programs, the potential exit of a country from its respective union and related geopolitical events, may result in market volatility and may have long-lasting impacts on both the U.S. and global financial markets. Additionally, those events, as well as other changes in foreign and domestic political and economic conditions, could adversely affect individual issuers or related groups of issuers, securities markets, interest rates, secondary trading, credit ratings, inflation, investor sentiment and other factors affecting the value of the Fund’s investments. The decision of the United Kingdom ("UK") to exit from the European Union following the June 2016 vote on the matter (referred to as “Brexit”) may cause uncertainty and thus adversely impact financial results of the Fund and the global financial markets. Growing tensions between the United States and other foreign powers, or among foreign powers, and possible diplomatic, trade or other sanctions could adversely impact the markets and the Fund. The strengthening or weakening of the U.S. dollar relative to other currencies may, among other things, adversely affect the Fund’s investments denominated in non-U.S. dollar currencies. It is difficult to predict when similar events affecting the U.S. or global financial markets may occur, the effects that such events may have, and the duration of those effects. Regulatory Risk The U.S. government has proposed and adopted multiple regulations that could have a long-lasting impact on the Fund and on the mutual fund industry in general. The Department of Labor's (“DOL”) final rule on conflicts of interest on fiduciary investment advice, as well as the Securities and Exchange Commission's (“SEC”) final rules and amendments to modernize reporting and disclosure and to develop and implement a Liquidity Risk Management Program for open-end investment companies could, among other things, restrict and/or increase the cost of the Fund’s ability to engage in transactions, impact flows into the Fund and/or increase overall expenses of the Fund. In addition, Congress, various exchanges and regulatory and self-regulatory authorities, both domestic and foreign, have undertaken reviews of options and futures trading in light of market volatility. Among the actions that have been taken or proposed to be taken are new limits and reporting requirements for speculative positions, new or more stringent daily price fluctuation limits for futures and options transactions, and increased margin requirements for various types of futures transactions. While the full extent of all of these regulations is still unclear, these regulations and actions may adversely affect the instruments in which the Fund invests and its ability to execute its investment strategy. Similarly, regulatory developments in other countries may have an unpredictable and adverse impact on the Fund. Cyber Security Risk With the increased use of technologies such as the Internet and the dependence on computer systems to perform necessary business functions, the Fund and its service providers (including the Advisor and Subadvisors) may be susceptible to operational and information security risks resulting from cyber-attacks and/or other technological malfunctions. In general, cyber-attacks are deliberate, but unintentional events may have similar effects. Cyber-attacks include, among others, stealing or corrupting data maintained online or digitally, preventing legitimate users from accessing information or services on a website, releasing confidential information without authorization, gaining unauthorized access to digital systems for purposes of misappropriating assets and causing operational disruption. Cyber-attacks may also be carried out in a manner that does not require gaining unauthorized access, such as causing denial-of-service. Successful cyber-attacks against, or security breakdowns of, the Fund, the Advisor, the Subadvisors, or a custodian, transfer agent, or other affiliated or third-party service provider may adversely affect the Fund or its shareholders. Each of the Fund, the Advisor and the Subadvisors may have limited ability to prevent or mitigate cyber-attacks or security or technology breakdowns affecting the Fund’s third-party service providers. While the Fund has established business continuity plans and systems designed to prevent or reduce the impact of cyber-attacks, such plans and systems are subject to inherent limitations. Large Shareholder Risk The Fund may have one or more large shareholders or a group of shareholders investing in classes of Fund shares indirectly through an account, platform or program sponsored by a financial institution. Investment and asset allocation decisions by such financial institutions regarding the account, platform or program through which multiple shareholders invest may result in subscription and redemption decisions that have a significant impact on the assets, expenses and trading activities of the Fund. Such a decision may cause the Fund to sell assets (or invest cash) at disadvantageous times or prices, increase or accelerate taxable gains or transaction costs and may negatively affect the Fund’s NAV, performance, or ability to satisfy redemptions in a timely manner. Other Investment Companies Risk To the extent the Fund invests a portion of its assets in investment companies, including open-end funds, closed-end funds, ETFs and other types of pooled investment funds, those assets will be subject to the risks of the purchased investment funds’ portfolio securities, and a shareholder in the Fund will bear not only his or her proportionate share of the Fund’s expenses, but also indirectly the expenses of the purchased investment funds. Shareholders would therefore be subject to duplicative expenses to the extent the Fund invests in other investment funds. Risks associated with investments in closed-end funds also generally include market risk, leverage risk, risk of market price discount from NAV, risk of anti-takeover provisions and non-diversification. In addition, restrictions under the Investment Company Act of 1940 (“1940 Act”) may limit the Fund’s ability to invest in other investment companies to the extent desired. Your investment in the Fund is not a deposit of any bank and is not insured or guaranteed by the Federal Deposit Insurance Corporation or any other government agency.
Risk Lose Money [Text]	rr_RiskLoseMoney	An investment in the Fund is subject to investment risk, including the possible loss of the entire principal amount that you invest.
Risk Not Insured Depository Institution [Text]	rr_RiskNotInsuredDepositoryInstitution	Your investment in the Fund is not a deposit of any bank and is not insured or guaranteed by the Federal Deposit Insurance Corporation or any other government agency.
Bar Chart and Performance Table [Heading]	rr_BarChartAndPerformanceTableHeading	FUND PERFORMANCE
Performance Narrative [Text Block]	rr_PerformanceNarrativeTextBlock	The following bar chart and table provide some indication of the risks of investing in the Fund. The bar chart shows changes in the Fund’s performance from year to year for Class A shares. Because Class F shares and Class T shares are currently not available for purchase, and have therefore not commenced investment operations, no performance information is provided for these share classes. The table shows how the Fund’s average annual returns compare with the performance of a selected broad-based market index, the S&P 500 Index, over various time periods. In addition to the broad-based market index, the table shows performance of the Linked Global Infrastructure Index-Net, which is represented by the performance of the S&P 1500 Utilities Index since inception through March 31, 2008; the Macquarie Global Infrastructure Index from April 1, 2008 through May 31, 2008; the UBS Global 50/50 Infrastructure & Utilities Index Net from June 1, 2008 to March 31, 2015; and the FTSE Global Core Infrastructure 50/50 Net Tax Index thereafter. The S&P 1500 Utilities Index is an unmanaged market-capitalization weighted index of 60 companies whose primary business involves the generation, transmission and/or distribution of electricity and/or natural gas. The Macquarie Global Infrastructure Index is a capitalization-weighted global infrastructure index containing all publicly quoted infrastructure-related stocks that are members of the FTSE Global Equity Index Series with market capitalization exceeding $250 million. The UBS Global 50/50 Infrastructure & Utilities Index Net tracks the performance of global infrastructure-related securities, split evenly between utilities and infrastructure and is net of dividend withholding. The FTSE Global Core Infrastructure 50/50 Net Tax Index is a market-capitalization-weighted index of the worldwide infrastructure and infrastructure-related securities. Constituent weights are adjusted semi-annually according to three broad industry sectors: 50% utilities, 30% transportation, and a 20% mix of other sectors, including pipelines, satellites and telecommunication towers. The Advisor believes that these indexes, as compared to the broad-based market index, are comprised of securities that are more representative of the Fund’s investment strategy. Past performance (both before and after taxes) is not, however, an indication as to how the Fund may perform in the future. Updated performance information, including the Fund’s NAV per share, is available at www.cohenandsteers.com or by calling (800) 330-7348. Prior to April 1, 2008, the Fund’s name was “Cohen & Steers Utility Fund, Inc.,” and normally the Fund invested at least 80% of its assets in common stocks and other equity securities issued by companies engaged in the utilities industry (utility companies); investments in foreign issuers were limited to 20% of its total assets. The performance of the Fund for periods prior to that date reflects performance under the old investment strategy. The bar chart does not reflect the deduction of sales charges imposed on Class A shares; if these amounts were reflected, returns would be less than those shown.
Performance Information Illustrates Variability of Returns [Text]	rr_PerformanceInformationIllustratesVariabilityOfReturns	The following bar chart and table provide some indication of the risks of investing in the Fund. The bar chart shows changes in the Fund’s performance from year to year for Class A shares. The table shows how the Fund’s average annual returns compare with the performance of a selected broad-based market index, the S&P 500 Index, over various time periods.
Performance One Year or Less [Text]	rr_PerformanceOneYearOrLess	Because Class F shares and Class T shares are currently not available for purchase, and have therefore not commenced investment operations, no performance information is provided for these share classes.
Performance Additional Market Index [Text]	rr_PerformanceAdditionalMarketIndex	In addition to the broad-based market index, the table shows performance of the Linked Global Infrastructure Index-Net, which is represented by the performance of the S&P 1500 Utilities Index since inception through March 31, 2008; the Macquarie Global Infrastructure Index from April 1, 2008 through May 31, 2008; the UBS Global 50/50 Infrastructure & Utilities Index Net from June 1, 2008 to March 31, 2015; and the FTSE Global Core Infrastructure 50/50 Net Tax Index thereafter. The S&P 1500 Utilities Index is an unmanaged market-capitalization weighted index of 60 companies whose primary business involves the generation, transmission and/or distribution of electricity and/or natural gas. The Macquarie Global Infrastructure Index is a capitalization-weighted global infrastructure index containing all publicly quoted infrastructure-related stocks that are members of the FTSE Global Equity Index Series with market capitalization exceeding $250 million. The UBS Global 50/50 Infrastructure & Utilities Index Net tracks the performance of global infrastructure-related securities, split evenly between utilities and infrastructure and is net of dividend withholding. The FTSE Global Core Infrastructure 50/50 Net Tax Index is a market-capitalization-weighted index of the worldwide infrastructure and infrastructure-related securities. Constituent weights are adjusted semi-annually according to three broad industry sectors: 50% utilities, 30% transportation, and a 20% mix of other sectors, including pipelines, satellites and telecommunication towers. The Advisor believes that these indexes, as compared to the broad-based market index, are comprised of securities that are more representative of the Fund’s investment strategy.
Performance Availability Phone [Text]	rr_PerformanceAvailabilityPhone	(800) 330-7348
Performance Availability Website Address [Text]	rr_PerformanceAvailabilityWebSiteAddress	www.cohenandsteers.com
Performance Past Does Not Indicate Future [Text]	rr_PerformancePastDoesNotIndicateFuture	Past performance (both before and after taxes) is not, however, an indication as to how the Fund may perform in the future.
Bar Chart [Heading]	rr_BarChartHeading	Class A Shares Annual Total Returns
Bar Chart Does Not Reflect Sales Loads [Text]	rr_BarChartDoesNotReflectSalesLoads	The bar chart does not reflect the deduction of sales charges imposed on Class A shares; if these amounts were reflected, returns would be less than those shown.
Bar Chart Closing [Text Block]	rr_BarChartClosingTextBlock	Highest quarterly return during this period:    16.05% (quarter ended September 30, 2009) Lowest quarterly return during this period:    -19.29% (quarter ended September 30, 2008)
Performance Table Heading	rr_PerformanceTableHeading	Average Annual Total Returns (for the periods ended December 31, 2017)
Performance Table Uses Highest Federal Rate	rr_PerformanceTableUsesHighestFederalRate	After-tax returns are calculated using the historical highest individual federal marginal income tax rates, and do not reflect the impact of state and local taxes.
Performance Table Not Relevant to Tax Deferred	rr_PerformanceTableNotRelevantToTaxDeferred	Actual after-tax returns depend on the investor’s tax situation and may differ from those shown, and the after-tax returns shown are not relevant to investors who hold their shares through tax-advantaged arrangements such as 401(k) plans or individual retirement accounts.
Performance Table One Class of after Tax Shown [Text]	rr_PerformanceTableOneClassOfAfterTaxShown	After-tax returns are shown for Class A shares only. After-tax returns for Class C, I, R, and Z shares will vary.
Performance Table Narrative	rr_PerformanceTableNarrativeTextBlock	After-tax returns are shown for Class A shares only. After-tax returns for Class C, I, R, and Z shares will vary.  Class F shares and Class T shares are currently not available for purchase. After-tax returns are calculated using the historical highest individual federal marginal income tax rates, and do not reflect the impact of state and local taxes. Actual after-tax returns depend on the investor’s tax situation and may differ from those shown, and the after-tax returns shown are not relevant to investors who hold their shares through tax-advantaged arrangements such as 401(k) plans or individual retirement accounts.
Cohen & Steers Global Infrastructure Fund Inc. | Class A
Risk/Return:	rr_RiskReturnAbstract
Maximum Sales Charge (Load) Imposed On Purchases (as % of offering price)	rr_MaximumSalesChargeImposedOnPurchasesOverOfferingPrice	4.50%
Maximum Deferred Sales Charge (Load) (as % of the net asset value at the time of purchase or redemption, whichever is lower)	rr_MaximumDeferredSalesChargeOverOther	none
Management Fee	rr_ManagementFeesOverAssets	0.75%
Distribution (12b-1) Fees	rr_DistributionAndService12b1FeesOverAssets	0.25%
Other Expenses	rr_Component1OtherExpensesOverAssets	0.23%	[1]
Shareholder Service Fee	rr_Component2OtherExpensesOverAssets	0.10%
Total Other Expenses	rr_OtherExpensesOverAssets	0.33%	[1]
Total Annual Fund Operating Expenses	rr_ExpensesOverAssets	1.33%
Fee Waiver/Expense Reimbursement	rr_FeeWaiverOrReimbursementOverAssets	none
Total Annual Fund Operating Expenses (after fee waiver/expense reimbursement)	rr_NetExpensesOverAssets	1.33%
Expense Breakpoint, Minimum Investment Required [Amount]	rr_ExpenseBreakpointMinimumInvestmentRequiredAmount	$ 100,000
1 Year	rr_ExpenseExampleYear01	579
3 Years	rr_ExpenseExampleYear03	852
5 Years	rr_ExpenseExampleYear05	1,146
10 Years	rr_ExpenseExampleYear10	1,979
1 Year	rr_ExpenseExampleNoRedemptionYear01	579
3 Years	rr_ExpenseExampleNoRedemptionYear03	852
5 Years	rr_ExpenseExampleNoRedemptionYear05	1,146
10 Years	rr_ExpenseExampleNoRedemptionYear10	$ 1,979
2008	rr_AnnualReturn2008	(36.94%)	[2]
2009	rr_AnnualReturn2009	20.24%	[2]
2010	rr_AnnualReturn2010	5.25%	[2]
2011	rr_AnnualReturn2011	2.22%	[2]
2012	rr_AnnualReturn2012	14.04%	[2]
2013	rr_AnnualReturn2013	18.20%	[2]
2014	rr_AnnualReturn2014	11.57%	[2]
2015	rr_AnnualReturn2015	(8.10%)	[2]
2016	rr_AnnualReturn2016	8.02%	[2]
2017	rr_AnnualReturn2017	18.90%	[2]
Highest Quarterly Return, Label	rr_HighestQuarterlyReturnLabel	Highest quarterly return
Highest Quarterly Return, Date	rr_BarChartHighestQuarterlyReturnDate	Sep. 30, 2009
Highest Quarterly Return	rr_BarChartHighestQuarterlyReturn	16.05%
Lowest Quarterly Return, Label	rr_LowestQuarterlyReturnLabel	Lowest quarterly return
Lowest Quarterly Return, Date	rr_BarChartLowestQuarterlyReturnDate	Sep. 30, 2008
Lowest Quarterly Return	rr_BarChartLowestQuarterlyReturn	(19.29%)
1 Year	rr_AverageAnnualReturnYear01	13.55%
5 Years	rr_AverageAnnualReturnYear05	8.25%
10 Years	rr_AverageAnnualReturnYear10	3.29%
Cohen & Steers Global Infrastructure Fund Inc. | Class C
Risk/Return:	rr_RiskReturnAbstract
Maximum Sales Charge (Load) Imposed On Purchases (as % of offering price)	rr_MaximumSalesChargeImposedOnPurchasesOverOfferingPrice	none
Maximum Deferred Sales Charge (Load) (as % of the net asset value at the time of purchase or redemption, whichever is lower)	rr_MaximumDeferredSalesChargeOverOther	1.00%	[3]
Management Fee	rr_ManagementFeesOverAssets	0.75%
Distribution (12b-1) Fees	rr_DistributionAndService12b1FeesOverAssets	0.75%
Other Expenses	rr_Component1OtherExpensesOverAssets	0.23%	[1]
Shareholder Service Fee	rr_Component2OtherExpensesOverAssets	0.25%
Total Other Expenses	rr_OtherExpensesOverAssets	0.48%	[1]
Total Annual Fund Operating Expenses	rr_ExpensesOverAssets	1.98%
Fee Waiver/Expense Reimbursement	rr_FeeWaiverOrReimbursementOverAssets	none
Total Annual Fund Operating Expenses (after fee waiver/expense reimbursement)	rr_NetExpensesOverAssets	1.98%
1 Year	rr_ExpenseExampleYear01	$ 301
3 Years	rr_ExpenseExampleYear03	621
5 Years	rr_ExpenseExampleYear05	1,068
10 Years	rr_ExpenseExampleYear10	2,306
1 Year	rr_ExpenseExampleNoRedemptionYear01	201
3 Years	rr_ExpenseExampleNoRedemptionYear03	621
5 Years	rr_ExpenseExampleNoRedemptionYear05	1,068
10 Years	rr_ExpenseExampleNoRedemptionYear10	$ 2,306
1 Year	rr_AverageAnnualReturnYear01	17.19%
5 Years	rr_AverageAnnualReturnYear05	8.55%
10 Years	rr_AverageAnnualReturnYear10	3.10%
Cohen & Steers Global Infrastructure Fund Inc. | Class F
Risk/Return:	rr_RiskReturnAbstract
Maximum Sales Charge (Load) Imposed On Purchases (as % of offering price)	rr_MaximumSalesChargeImposedOnPurchasesOverOfferingPrice	none	[4]
Maximum Deferred Sales Charge (Load) (as % of the net asset value at the time of purchase or redemption, whichever is lower)	rr_MaximumDeferredSalesChargeOverOther	none	[4]
Management Fee	rr_ManagementFeesOverAssets	0.75%	[4]
Distribution (12b-1) Fees	rr_DistributionAndService12b1FeesOverAssets	none	[4]
Other Expenses	rr_Component1OtherExpensesOverAssets	0.23%	[1],[4]
Shareholder Service Fee	rr_Component2OtherExpensesOverAssets	none	[4]
Total Other Expenses	rr_OtherExpensesOverAssets	0.23%	[1],[4]
Total Annual Fund Operating Expenses	rr_ExpensesOverAssets	0.98%	[4]
Fee Waiver/Expense Reimbursement	rr_FeeWaiverOrReimbursementOverAssets	none	[4]
Total Annual Fund Operating Expenses (after fee waiver/expense reimbursement)	rr_NetExpensesOverAssets	0.98%	[4],[5]
1 Year	rr_ExpenseExampleYear01	$ 100
3 Years	rr_ExpenseExampleYear03	312
5 Years	rr_ExpenseExampleYear05	542
10 Years	rr_ExpenseExampleYear10	1,201
1 Year	rr_ExpenseExampleNoRedemptionYear01	100
3 Years	rr_ExpenseExampleNoRedemptionYear03	312
5 Years	rr_ExpenseExampleNoRedemptionYear05	542
10 Years	rr_ExpenseExampleNoRedemptionYear10	$ 1,201
Cohen & Steers Global Infrastructure Fund Inc. | Class I
Risk/Return:	rr_RiskReturnAbstract
Maximum Sales Charge (Load) Imposed On Purchases (as % of offering price)	rr_MaximumSalesChargeImposedOnPurchasesOverOfferingPrice	none
Maximum Deferred Sales Charge (Load) (as % of the net asset value at the time of purchase or redemption, whichever is lower)	rr_MaximumDeferredSalesChargeOverOther	none
Management Fee	rr_ManagementFeesOverAssets	0.75%
Distribution (12b-1) Fees	rr_DistributionAndService12b1FeesOverAssets	none
Other Expenses	rr_Component1OtherExpensesOverAssets	0.23%	[1]
Shareholder Service Fee	rr_Component2OtherExpensesOverAssets	0.07%	[6]
Total Other Expenses	rr_OtherExpensesOverAssets	0.30%	[1]
Total Annual Fund Operating Expenses	rr_ExpensesOverAssets	1.05%	[7]
Fee Waiver/Expense Reimbursement	rr_FeeWaiverOrReimbursementOverAssets	(0.07%)	[7]
Total Annual Fund Operating Expenses (after fee waiver/expense reimbursement)	rr_NetExpensesOverAssets	0.98%	[7]
1 Year	rr_ExpenseExampleYear01	$ 100
3 Years	rr_ExpenseExampleYear03	327
5 Years	rr_ExpenseExampleYear05	573
10 Years	rr_ExpenseExampleYear10	1,276
1 Year	rr_ExpenseExampleNoRedemptionYear01	100
3 Years	rr_ExpenseExampleNoRedemptionYear03	327
5 Years	rr_ExpenseExampleNoRedemptionYear05	573
10 Years	rr_ExpenseExampleNoRedemptionYear10	$ 1,276
1 Year	rr_AverageAnnualReturnYear01	19.30%
5 Years	rr_AverageAnnualReturnYear05	9.60%
10 Years	rr_AverageAnnualReturnYear10	4.11%
Cohen & Steers Global Infrastructure Fund Inc. | Class R
Risk/Return:	rr_RiskReturnAbstract
Maximum Sales Charge (Load) Imposed On Purchases (as % of offering price)	rr_MaximumSalesChargeImposedOnPurchasesOverOfferingPrice	none
Maximum Deferred Sales Charge (Load) (as % of the net asset value at the time of purchase or redemption, whichever is lower)	rr_MaximumDeferredSalesChargeOverOther	none
Management Fee	rr_ManagementFeesOverAssets	0.75%
Distribution (12b-1) Fees	rr_DistributionAndService12b1FeesOverAssets	0.50%
Other Expenses	rr_Component1OtherExpensesOverAssets	0.23%	[1]
Shareholder Service Fee	rr_Component2OtherExpensesOverAssets	none
Total Other Expenses	rr_OtherExpensesOverAssets	0.23%	[1]
Total Annual Fund Operating Expenses	rr_ExpensesOverAssets	1.48%
Fee Waiver/Expense Reimbursement	rr_FeeWaiverOrReimbursementOverAssets	none
Total Annual Fund Operating Expenses (after fee waiver/expense reimbursement)	rr_NetExpensesOverAssets	1.48%
1 Year	rr_ExpenseExampleYear01	$ 151
3 Years	rr_ExpenseExampleYear03	468
5 Years	rr_ExpenseExampleYear05	808
10 Years	rr_ExpenseExampleYear10	1,768
1 Year	rr_ExpenseExampleNoRedemptionYear01	151
3 Years	rr_ExpenseExampleNoRedemptionYear03	468
5 Years	rr_ExpenseExampleNoRedemptionYear05	808
10 Years	rr_ExpenseExampleNoRedemptionYear10	$ 1,768
1 Year	rr_AverageAnnualReturnYear01	18.70%
5 Years	rr_AverageAnnualReturnYear05		[8]
10 Years	rr_AverageAnnualReturnYear10		[8]
Inception Date	rr_AverageAnnualReturnInceptionDate	Oct. 01, 2014
Cohen & Steers Global Infrastructure Fund Inc. | Class T
Risk/Return:	rr_RiskReturnAbstract
Maximum Sales Charge (Load) Imposed On Purchases (as % of offering price)	rr_MaximumSalesChargeImposedOnPurchasesOverOfferingPrice	2.50%	[4]
Maximum Deferred Sales Charge (Load) (as % of the net asset value at the time of purchase or redemption, whichever is lower)	rr_MaximumDeferredSalesChargeOverOther	none	[4]
Management Fee	rr_ManagementFeesOverAssets	0.75%	[4]
Distribution (12b-1) Fees	rr_DistributionAndService12b1FeesOverAssets	0.25%	[4]
Other Expenses	rr_Component1OtherExpensesOverAssets	0.23%	[1],[4]
Shareholder Service Fee	rr_Component2OtherExpensesOverAssets	0.08%	[4],[6]
Total Other Expenses	rr_OtherExpensesOverAssets	0.31%	[1],[4]
Total Annual Fund Operating Expenses	rr_ExpensesOverAssets	1.31%	[4]
Fee Waiver/Expense Reimbursement	rr_FeeWaiverOrReimbursementOverAssets	none	[4]
Total Annual Fund Operating Expenses (after fee waiver/expense reimbursement)	rr_NetExpensesOverAssets	1.31%	[4],[5]
Expense Breakpoint, Minimum Investment Required [Amount]	rr_ExpenseBreakpointMinimumInvestmentRequiredAmount	$ 250,000
1 Year	rr_ExpenseExampleYear01	380
3 Years	rr_ExpenseExampleYear03	655
5 Years	rr_ExpenseExampleYear05	950
10 Years	rr_ExpenseExampleYear10	1,790
1 Year	rr_ExpenseExampleNoRedemptionYear01	380
3 Years	rr_ExpenseExampleNoRedemptionYear03	655
5 Years	rr_ExpenseExampleNoRedemptionYear05	950
10 Years	rr_ExpenseExampleNoRedemptionYear10	$ 1,790
Cohen & Steers Global Infrastructure Fund Inc. | Class Z
Risk/Return:	rr_RiskReturnAbstract
Maximum Sales Charge (Load) Imposed On Purchases (as % of offering price)	rr_MaximumSalesChargeImposedOnPurchasesOverOfferingPrice	none
Maximum Deferred Sales Charge (Load) (as % of the net asset value at the time of purchase or redemption, whichever is lower)	rr_MaximumDeferredSalesChargeOverOther	none
Management Fee	rr_ManagementFeesOverAssets	0.75%
Distribution (12b-1) Fees	rr_DistributionAndService12b1FeesOverAssets	none
Other Expenses	rr_Component1OtherExpensesOverAssets	0.23%	[1]
Shareholder Service Fee	rr_Component2OtherExpensesOverAssets	none
Total Other Expenses	rr_OtherExpensesOverAssets	0.23%	[1]
Total Annual Fund Operating Expenses	rr_ExpensesOverAssets	0.98%
Fee Waiver/Expense Reimbursement	rr_FeeWaiverOrReimbursementOverAssets	none
Total Annual Fund Operating Expenses (after fee waiver/expense reimbursement)	rr_NetExpensesOverAssets	0.98%
1 Year	rr_ExpenseExampleYear01	$ 100
3 Years	rr_ExpenseExampleYear03	312
5 Years	rr_ExpenseExampleYear05	542
10 Years	rr_ExpenseExampleYear10	1,201
1 Year	rr_ExpenseExampleNoRedemptionYear01	100
3 Years	rr_ExpenseExampleNoRedemptionYear03	312
5 Years	rr_ExpenseExampleNoRedemptionYear05	542
10 Years	rr_ExpenseExampleNoRedemptionYear10	$ 1,201
1 Year	rr_AverageAnnualReturnYear01	19.30%
5 Years	rr_AverageAnnualReturnYear05		[8]
10 Years	rr_AverageAnnualReturnYear10		[8]
Inception Date	rr_AverageAnnualReturnInceptionDate	Oct. 01, 2014
Cohen & Steers Global Infrastructure Fund Inc. | Return After Taxes on Distributions | Class A
Risk/Return:	rr_RiskReturnAbstract
1 Year	rr_AverageAnnualReturnYear01	12.04%
5 Years	rr_AverageAnnualReturnYear05	7.51%
10 Years	rr_AverageAnnualReturnYear10	2.90%
Cohen & Steers Global Infrastructure Fund Inc. | Return After Taxes on Distributions and Sale of Fund Shares | Class A
Risk/Return:	rr_RiskReturnAbstract
1 Year	rr_AverageAnnualReturnYear01	8.88%
5 Years	rr_AverageAnnualReturnYear05	6.48%
10 Years	rr_AverageAnnualReturnYear10	2.70%
Cohen & Steers Global Infrastructure Fund Inc. | Linked Global Infrastructure Index - Net (reflects no deduction for fees, expenses or taxes)
Risk/Return:	rr_RiskReturnAbstract
1 Year	rr_AverageAnnualReturnYear01	18.39%	[9]
5 Years	rr_AverageAnnualReturnYear05	10.07%	[9]
10 Years	rr_AverageAnnualReturnYear10	3.23%	[9]
Cohen & Steers Global Infrastructure Fund Inc. | S&P 500® Index (reflects no deduction for fees, expenses or taxes)
Risk/Return:	rr_RiskReturnAbstract
1 Year	rr_AverageAnnualReturnYear01	21.83%	[10]
5 Years	rr_AverageAnnualReturnYear05	15.79%	[10]
10 Years	rr_AverageAnnualReturnYear10	8.50%	[10]

[1] Other expenses have been restated to reflect contractual changes to the administration fee paid by the Fund to Cohen & Steers Capital Management, Inc., the Fund's Investment Advisor, and other contractual changes to fees paid by the Fund.

[2] The annual total returns for Class C, I, R and Z shares of the Fund are substantially similar to the annual total returns of Class A shares because the assets of all classes are invested in the same portfolio of securities. The annual total returns differ only to the extent that the classes do not have the same expenses. Class F shares and Class T shares are currently not available for purchase.

[3] For Class C shares, the maximum deferred sales charge does not apply after one year.

[4] Class F shares and Class T shares are currently not available for purchase.

[5] The total annual fund operating expenses for Class F shares and Class T shares are estimated.

[6] The maximum shareholder service fee for Class I shares and Class T shares is 0.10%.

[7] Cohen & Steers Capital Management, Inc., the Fund’s investment advisor (the “Advisor”), has contractually agreed to waive its fee and/or reimburse the Fund's Class I shareholder service fee through June 30, 2019, up to the maximum shareholder service fee of 0.10%. This contractual agreement can be amended at any time by the agreement of the Fund's Board of Directors and the Advisor and will terminate automatically in the event of termination of the investment advisory agreement between the Fund and the Advisor.

[8] The inception date for Class R and Class Z shares is October 1, 2014. Since inception and through December 31, 2017, Class R shares and Class Z shares had a return before taxes of of 5.62% and 6.14%, respectively.

[9] The Linked Global Infrastructure Index Net is represented by the performance of the S&P 1500 Utilities Index since inception through March 31, 2008; the Macquarie Global Infrastructure Index from April 1, 2008 through May 31, 2008; the UBS Global 50/50 Infrastructure & Utilities Index (net) from June 1, 2008 through March 31, 2015; and the FTSE Global Core Infrastructure 50/50 Net Tax Index thereafter and is net of withholding taxes. The S&P 1500 Utilities Index is an unmanaged market-capitalization weighted index of 60 companies whose primary business involves the generation, transmission and/or distribution of electricity and/or natural gas. The Macquarie Global Infrastructure Index is a capitalization-weighted global infrastructure index containing all publicly quoted infrastructure-related stocks that are members of the FTSE Global Equity Index Series with market capitalization exceeding $250 million. The UBS Global 50/50 Infrastructure & Utilities Index Net tracks the performance of global infrastructure-related securities, split evenly between utilities and infrastructure and is net of dividend witholding taxes. The FTSE Global Core Infrastructure 50/50 Net Tax Index is a market-capitalization-weighted index of the worldwide infrastructure and infrastructure-related securities. Constituent weights are adjusted semi-annually according to three broad industry sectors: 50% utilities, 30% transportation, and a 20% mix of other sectors, including pipelines, satellites and telecommunication towers.

[10] The S&P 500 Index is an unmanaged index of common stocks that is frequently used as a general measure of U.S. stock market performance.

XML

Label	Element	Value
Risk/Return:	rr_RiskReturnAbstract
Registrant Name	dei_EntityRegistrantName	COHEN & STEERS GLOBAL INFRASTRUCTURE FUND INC
Prospectus Date	rr_ProspectusDate	May 01, 2018
Document Creation Date	dei_DocumentCreationDate	Apr. 27, 2018