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Exhibit 31.1

CERTIFICATIONS UNDER SECTION 302 OF SARBANES/OXLEY ACT

I, David H. McCormick, certify that:



|1. |  | I have reviewed this annual report on Form 10-K of FreeMarkets, Inc.;                                                                                                                                                                                                                                                   
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|2. |  | Based on my knowledge, this annual report does not contain any untrue
statement of a material fact or omit to state a material fact necessary to
make the statements made, in light of the circumstances under which such
statements were made, not misleading with respect to the period covered by
this annual report;
|  
|3. |  | Based on my knowledge, the financial statements, and other financial
information included in this annual report, fairly present in all material
respects the financial condition, results of operations and cash flows of
the registrant as of and for the periods presented in this annual report;                     
|  
|4. |  | The registrants other certifying officer and I are responsible for
establishing and maintaining disclosure controls and procedures (as
defined in Exchange Act Rules 13a-14 and 15d-14) for the registrant, and
we have:                                                                                               



| | a) |  | designed such disclosure controls and procedures to ensure that
material information relating to the registrant, including its
consolidated subsidiaries, is made known to us by others within those
entities, particularly during the period in which this annual report is
being prepared;
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| | b) |  | evaluated the effectiveness of the registrants disclosure controls
and procedures as of a date within 90 days prior to the filing date of
this annual report (the Evaluation Date); and                                                                                                  
|
| | c) |  | presented in this annual report our conclusions about the
effectiveness of the disclosure controls and procedures based on our
evaluation as of the Evaluation Date;                                                                                                                        



|5. |  | The registrants other certifying officer and I have disclosed, based on
our most recent evaluation, to the registrants auditors and the audit
committee of the board of directors (or persons performing the equivalent
function):
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| | a) |  | all significant deficiencies in the design or operation of internal
controls that could adversely affect the registrants ability to record,
process, summarize and report financial data and have identified for the
registrants auditors any material weaknesses in internal controls; and
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| | b) |  | any fraud, whether or not material, that involves management or other
employees who have a significant role in the registrants internal
controls; and                                                                                                                                       



|6. |  | The registrants other certifying officer and I have indicated in this
annual report whether or not there were significant changes in internal
controls or in other factors that could significantly affect internal
controls subsequent to the date of our most recent evaluation, including
any corrective actions with regard to significant deficiencies and
material weaknesses.
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Date: March 1, 2004

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| | ------------------------------------- | 
| | /s/ DAVID H. MCCORMICK                | 
| |                                       | 
| | David H. McCormick                    | 
| | President and Chief Executive Officer |