SCHEDULE 13G

Amendment No. 0 
Corn Products International Incorporated 
common stock 
Cusip # 219023108                

Cusip # 219023108           
Item 1:	Reporting Person - FMR Corp.
Item 4:	Commonwealth of Massachusetts
Item 5:	791,838 
Item 6:	0 
Item 7:	3,576,321 
Item 8:	0 
Item 9:	3,576,321 
Item 11:	9.976% 
Item 12:	    HC

Cusip # 219023108    
Item 1:	Reporting Person - Edward C. Johnson 3d 
Item 4:	United States of America
Item 5:	0 
Item 6:	0 
Item 7:	3,576,321 
Item 8:	0 
Item 9:	3,576,321 
Item 11:	9.976% 
Item 12:	IN 

Cusip # 219023108      
Item 1:	Reporting Person - Abigail P. Johnson 
Item 4:	United States of America
Item 5:	None 
Item 6:	None 
Item 7:	3,576,321 
Item 8:	None 
Item 9:	3,576,321 
Item 11:	9.976% 
Item 12:	    IN


SCHEDULE 13G - TO BE INCLUDED IN STATEMENTS
FILED PURSUANT TO RULE 13d-1(b) or 13d-2(b)


Item 1(a).	Name of Issuer:	

		Corn Products International Incorporated 

Item 1(b).	Name of Issuer's Principal Executive Offices:

		P. O. Box 345, 6500 Archer Road 
		Summit, IL  60501  

Item 2(a).	Name of Person Filing: 

		FMR Corp.

Item 2(b).	Address or Principal Business Office or, if None, 
Residence:

		82 Devonshire Street, Boston, Massachusetts  02109

Item 2(c).	Citizenship:

		Not applicable

Item 2(d).	Title of Class of Securities:

		common stock 

Item 2(e).	CUSIP Number:  

		219023108 

Item 3.	This statement is filed pursuant to Rule 13d-1(b) or 13d-
2(b) and the person filing, FMR Corp., is a parent holding company in 
accordance with Section 240.13d-1(b)(ii)(G).  (Note:  See Item 7).

Item 4.	Ownership

	(a)	Amount Beneficially Owned:	3,576,321 

	(b)	Percent of Class:	9.976% 

	(c)	Number of shares as to which such person has:  

	(i)	sole power to vote or to direct the vote:	791,838 

	(ii)	shared power to vote or to direct the vote:	0 

	(iii)	sole power to dispose or to direct the disposition of:
	3,576,321 

	(iv)	shared power to dispose or to direct the disposition of:
	0 




Item 5.	Ownership of Five Percent or Less of a CommonStock.

	Not applicable.

Item 6.	Ownership of More than Five Percent on Behalf of Another 
Person.

	Various persons have the right to receive or the power to direct 
the receipt of dividends from, or the proceeds from the sale of, the 
common stock of Corn Products International Incorporated.  No one 
person's interest in the common stock of Corn Products International 
Incorporated is more than five percent of the total outstanding common 
stock.

Item 7.	Identification and Classification of the Subsidiary Which 
Acquired the Security Being Reported on By the Parent Holding Company.

	See attached Exhibit(s) A, B. 

Item 8.	Identification and Classification of Members of the Group.

	Not Applicable. See attached Exhibit A. 

Item 9.	Notice of Dissolution of Group.

	Not applicable.

Item 10.	Certification.

	By signing below I certify that, to the best of my knowledge and 
belief, the securities referred to above were acquired in the ordinary 
course of business and were not acquired for the purpose of and do not 
have the effect of changing or influencing the control of the issuer of 
such securities and were not acquired in connection with or as a 
participant in any transaction having such purpose or effect.

	
Signature

	After reasonable inquiry and to the best of my knowledge and 
belief, I certify that the information set forth in this Schedule 13G 
in connection with FMR Corp.'s beneficial ownership of the common stock 
of Corn Products International Incorporated at December 31, 1998 is 
true, complete and correct. 


	February 01, 1999 
Date



	/s/Eric D. Roiter
Signature



	Eric D. Roiter	
	Duly authorized under Power of Attorney
	dated December 30, 1997, by and on behalf
	of FMR Corp. and its direct and indirect
	subsidiaries



SCHEDULE 13G - TO BE INCLUDED IN STATEMENTS
FILED PURSUANT TO RULE 13d-1(b) or 13d-2(b)

	Pursuant to the instructions in Item 7 of Schedule 13G, Fidelity 
Management & Research Company ("Fidelity"), 82 Devonshire Street, 
Boston, Massachusetts 02109, a wholly-owned subsidiary of FMR Corp. and 
an investment adviser registered under Section 203 of the Investment 
Advisers Act of 1940, is the beneficial owner of 2,734,908 shares or 
7.629% of the common stock outstanding of Corn Products International 
Incorporated  ("the Company") as a result of acting as investment 
adviser to various investment companies registered under Section 8 of 
the Investment Company Act of 1940.

	Edward C. Johnson 3d, FMR Corp., through its control of Fidelity, 
and the funds each has sole power to dispose of the 2,734,908 shares 
owned by the Funds.

	Neither FMR Corp. nor Edward C. Johnson 3d, Chairman of FMR 
Corp., has the sole power to vote or direct the voting of the shares 
owned directly by the Fidelity Funds, which power resides with the 
Funds' Boards of Trustees.  Fidelity carries out the voting of the 
shares under written guidelines established by the Funds' Boards of 
Trustees.

	Fidelity Management Trust Company, 82 Devonshire Street, Boston, 
Massachusetts 02109, a wholly-owned subsidiary of FMR Corp. and a bank 
as defined in Section 3(a)(6) of the Securities Exchange Act of 1934, 
is the beneficial owner of  841,413 shares or 2.347% of the common 
stock outstanding of the Company as a result of its serving as 
investment manager of the institutional account(s). 

	Edward C. Johnson 3d and FMR Corp., through its control of 
Fidelity Management Trust Company, each has sole dispositive power over 
841,413 shares and sole power to vote or to direct the voting of 
791,838 shares, and no power to vote or to direct the voting of 49,575 
shares of common stock owned by the institutional account(s) as 
reported above.

	Members of the Edward C. Johnson 3d family and trusts for their 
benefit are the predominant owners of Class B shares of common stock of 
FMR Corp., representing approximately 49% of the voting power of FMR 
Corp.  Mr. Johnson 3d owns 12.0% and Abigail Johnson owns 24.5% of the 
aggregate outstanding voting stock of FMR Corp.  Mr. Johnson 3d is 
Chairman of FMR Corp. and Abigail P. Johnson is a Director of FMR Corp.  
The Johnson family group and all other Class B shareholders have 
entered into a shareholders' voting agreement under which all Class B 
shares will be voted in accordance with the majority vote of Class B 
shares.  Accordingly, through their ownership of voting common stock 
and the execution of the shareholders' voting agreement, members of the 
Johnson family may be deemed, under the Investment Company Act of 1940, 
to form a controlling group with respect to FMR Corp.


 .


SCHEDULE 13G - TO BE INCLUDED IN STATEMENTS
FILED PURSUANT TO RULE 13d-1(b) or 13d-2(b)
RULE 13d-1(f)(1)  AGREEMENT

	The undersigned persons, on February 01, 1999, agree and consent 
to the joint filing on their behalf of this Schedule 13G in connection 
with their beneficial ownership of the common stock of Corn Products 
International Incorporated at December 31, 1998.

FMR Corp.

By   /s/Eric D. Roiter   			
	Eric D. Roiter
	Duly authorized under Power of Attorney
	dated December 30, 1997, by and on behalf
	of FMR Corp. and its direct and indirect 
	subsidiaries

Edward C. Johnson 3d

By   /s/Eric D. Roiter   			
	Eric D. Roiter
	Duly authorized under Power of Attorney
	dated December 30, 1997, by and on behalf
	of Edward C. Johnson 3d

Abigail P. Johnson

By   /s/Eric D. Roiter   			
	Eric D. Roiter
	Duly authorized under Power of Attorney
	dated December 30, 1997, by and on behalf
	of Abigail P. Johnson

Fidelity Management & Research Company

By   /s/Eric D. Roiter   			
	Eric D. Roiter
	V.P. and General Counsel