<?xml version="1.0" encoding="us-ascii"?><InstanceReport xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema"><Version>2.2.0.25</Version><hasSegments>false</hasSegments><hasScenarios>false</hasScenarios><ReportLongName>0205 - Disclosure - Share-Based Compensation</ReportLongName><DisplayLabelColumn>true</DisplayLabelColumn><ShowElementNames>false</ShowElementNames><RoundingOption /><HasEmbeddedReports>false</HasEmbeddedReports><Columns><Column><Id>1</Id><IsAbstractGroupTitle>false</IsAbstractGroupTitle><LabelColumn>false</LabelColumn><CurrencyCode>USD</CurrencyCode><FootnoteIndexer /><hasSegments>false</hasSegments><hasScenarios>false</hasScenarios><MCU><KeyName>1/1/2011 - 3/31/2011
USD ($)

USD ($) / shares
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    &lt;!--DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd" --&gt;
    &lt;!-- Begin Block Tagged Note 5 - us-gaap:DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock--&gt;
    &lt;div style="font-family: Helvetica,Arial,sans-serif"&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 12pt"&gt;&lt;b&gt;Note 5. Share-Based Compensation&lt;/b&gt;
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;During the three months ended March&amp;#160;31, 2011 and 2010, the Company expensed share-based
    compensation awards under the Goodrich Equity Compensation Plan and the Goodrich Corporation 2008
    Global Employee Stock Purchase Plan for employees and under the Outside Director Deferral and
    Outside Director Phantom Share plans for non-employee directors. A detailed description of the
    awards under these plans is included in the Company&amp;#8217;s Annual Report on Form 10-K for the year ended
    December&amp;#160;31, 2010.
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;The compensation cost recorded for share-based compensation plans during the three months ended
    March&amp;#160;31, 2011 and 2010 was $17.9&amp;#160;million and $18.2&amp;#160;million, respectively.
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 12pt"&gt;&lt;b&gt;Grants&lt;/b&gt;
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;A summary of the Company&amp;#8217;s grants during the three months ended March&amp;#160;31, 2011 and the
    weighted-average fair value per share are as follows:
    &lt;/div&gt;
    &lt;div align="center"&gt;
    &lt;table style="font-size: 10pt; text-align: left" cellspacing="0" border="0" cellpadding="0" width="100%"&gt;
    &lt;!-- Begin Table Head --&gt;
    &lt;tr valign="bottom"&gt;
    &lt;td width="19%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="4%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="1%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="1%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="6%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="4%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="1%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="1%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="6%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="1%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="6%"&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr style="font-size: 8pt" valign="bottom"&gt;
    &lt;td nowrap="nowrap" align="center" colspan="5" style="border-bottom: 1px solid #000000"&gt;&lt;b&gt;Stock Options&lt;/b&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" colspan="7" style="border-bottom: 1px solid #000000"&gt;&lt;b&gt;Restricted Stock Units&lt;/b&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" colspan="7" style="border-bottom: 1px solid #000000"&gt;&lt;b&gt;Performance Units&lt;/b&gt;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr style="font-size: 8pt" valign="bottom"&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" colspan="3"&gt;&lt;b&gt;Weighted Average&lt;/b&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" colspan="3"&gt;&lt;b&gt;Weighted Average&lt;/b&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" colspan="3"&gt;&lt;b&gt;Weighted Average&lt;/b&gt;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr style="font-size: 8pt" valign="bottom"&gt;
    &lt;td nowrap="nowrap" align="center" style="border-bottom: 1px solid #000000"&gt;&lt;b&gt;Shares&lt;/b&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" colspan="3" style="border-bottom: 1px solid #000000"&gt;&lt;b&gt;Fair Value Per Share&lt;/b&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" colspan="3" style="border-bottom: 1px solid #000000"&gt;&lt;b&gt;Shares&lt;/b&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" colspan="3" style="border-bottom: 1px solid #000000"&gt;&lt;b&gt;Fair Value Per Share&lt;/b&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" colspan="3" style="border-bottom: 1px solid #000000"&gt;&lt;b&gt;Units&lt;/b&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" colspan="3" style="border-bottom: 1px solid #000000"&gt;&lt;b&gt;Fair Value Per Unit&lt;/b&gt;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;!-- End Table Head --&gt;
    &lt;!-- Begin Table Body --&gt;
    &lt;tr valign="bottom"&gt;
    &lt;td align="center"&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;733,400
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;$&lt;/td&gt;
    &lt;td align="right"&gt;28.35&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;497,950&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;$&lt;/td&gt;
    &lt;td align="right"&gt;88.64&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;140,600&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;$&lt;/td&gt;
    &lt;td align="right"&gt;102.67&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;!-- End Table Body --&gt;
    &lt;/table&gt;
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;The grant date fair value for the stock options with the three-year service condition was
    estimated under the Black-Scholes-Merton formula using the following weighted-average assumptions:
    &lt;/div&gt;
    &lt;div align="center"&gt;
    &lt;table style="font-size: 10pt; text-align: left" cellspacing="0" border="0" cellpadding="0" width="100%"&gt;
    &lt;!-- Begin Table Head --&gt;
    &lt;tr valign="bottom"&gt;
    &lt;td width="76%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="3%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="1%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="3%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="5%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="3%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="1%"&gt;&amp;#160;&lt;/td&gt;
    &lt;td width="3%"&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr style="font-size: 8pt" valign="bottom"&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" colspan="3" style="border-bottom: 1px solid #000000"&gt;&lt;b&gt;2011&lt;/b&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td nowrap="nowrap" align="center" colspan="3" style="border-bottom: 1px solid #000000"&gt;&lt;b&gt;2010&lt;/b&gt;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;!-- End Table Head --&gt;
    &lt;!-- Begin Table Body --&gt;
    &lt;tr valign="bottom" style="background: #cceeff"&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Risk-free interest rate (%)
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;2.2&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;2.9&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom"&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Expected dividend yield (%)
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;1.3&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;1.6&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom" style="background: #cceeff"&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Historical volatility factor (%)
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;35.6&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;35.0&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr valign="bottom"&gt;
    &lt;td&gt;
    &lt;div style="margin-left:15px; text-indent:-15px"&gt;Weighted-average expected life of the options (years)
    &lt;/div&gt;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;5.6&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;td align="right"&gt;5.7&lt;/td&gt;
    &lt;td&gt;&amp;#160;&lt;/td&gt;
    &lt;/tr&gt;
    &lt;!-- End Table Body --&gt;
    &lt;/table&gt;
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 12pt"&gt;&lt;b&gt;Employee Stock Purchase Plan Shares Issued&lt;/b&gt;
    &lt;/div&gt;
    &lt;div align="left" style="font-size: 10pt; margin-top: 6pt"&gt;There were 236,855 and 406,778 shares of common stock issued during the three months ended March
    31, 2011 and 2010, respectively. Employee contributions of $13.2&amp;#160;million and $12.3&amp;#160;million during
    the years ended December&amp;#160;31, 2010 and 2009, respectively, were used to purchase the Company&amp;#8217;s stock
    during the three months ended March&amp;#160;31, 2011 and 2010, respectively.
    &lt;/div&gt;
    &lt;!-- Folio --&gt;
    &lt;!-- /Folio --&gt;
    &lt;/div&gt;
    &lt;!-- PAGEBREAK --&gt;
    &lt;div style="font-family: Helvetica,Arial,sans-serif"&gt;
    &lt;/div&gt;
  </NonNumbericText><NonNumericTextHeader>&lt;!--DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd" --&gt;
    &lt;!-- Begin Block Tagged Note</NonNumericTextHeader><FootnoteIndexer /><CurrencyCode /><CurrencySymbol /><IsIndependantCurrency>false</IsIndependantCurrency><ShowCurrencySymbol>false</ShowCurrencySymbol><DisplayDateInUSFormat>false</DisplayDateInUSFormat><hasSegments>false</hasSegments><hasScenarios>false</hasScenarios></Cell></Cells><OriginalInstanceReportColumns /><Unit>Other</Unit><ElementDataType>us-types:textBlockItemType</ElementDataType><SimpleDataType>string</SimpleDataType><ElementDefenition>Disclosure of compensation-related costs for share-based compensation which may include disclosure of policies, compensation plan details, allocation of stock compensation, incentive distributions, share-based arrangements to obtain goods and services, deferred compensation arrangements, employee stock ownership plan details and employee stock purchase plan details.</ElementDefenition><ElementReferences>Reference 1: http://www.xbrl.org/2003/role/presentationRef
 -Publisher FASB
 -Name Statement of Financial Accounting Standard (FAS)
 -Number 123R
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Reference 2: http://www.xbrl.org/2003/role/presentationRef
 -Publisher AICPA
 -Name Statement of Position (SOP)
 -Number 93-6
 -Paragraph 53

Reference 3: http://www.xbrl.org/2003/role/presentationRef
 -Publisher SEC
 -Name Staff Accounting Bulletin (SAB)
 -Number Topic 14

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