EXHIBIT
      31.1


NYSE
      Group, Inc.




CERTIFICATION
      OF CHIEF EXECUTIVE OFFICER


PURSUANT
      TO RULE 13a-14(a) AND RULE 15d-14(a), AS AMENDED




I,
      John
      Thain, certify that:




1.    
      I have reviewed this quarterly report on Form 10-Q of NYSE Group,
      Inc.;




2.    
      Based on my knowledge, this 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 report;




3.    
      Based on my knowledge, the financial statements, and other financial information
      included in this 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 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-15(e) and 15d-15(e)) for the registrant and
      have:




a.    
      Designed such disclosure controls and procedures, or caused such disclosure
      controls and procedures to be designed under our supervision, 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 quarterly report is being prepared;




b.    Evaluated
      the effectiveness of the registrant’s disclosure controls and procedures and
      presented in this report our conclusions about the effectiveness of the
      disclosure controls and procedures, as of the end of the period covered by
      this
      report based on such evaluation; and




c.    
      Disclosed in this report any change in the registrant’s internal control over
      financial reporting that occurred during the registrant’s most recent fiscal
      quarter that has materially affected, or is reasonably likely to materially
      affect, the registrant’s internal control over financial reporting;
      and





5.    
      The registrant’s other certifying officer and I have disclosed, based on our
      most recent evaluation of internal control over financial reporting, to the
      registrant’s auditors and the audit committee of registrant’s board of directors
      (or persons performing the equivalent functions):




a.    
      All significant deficiencies and material weaknesses in the design or operation
      of internal control over financial reporting which are reasonably likely to
      adversely affect the registrant’s ability to record, process, summarize and
      report financial information; and




b.    Any
      fraud, whether or not material, that involves management or other employees
      who
      have a significant role in the registrant’s internal control over financial
      reporting.









Date:  May
      15,
      2006




/s/
      John A.
      Thain


John
      A.
      Thain


Chief
      Executive Officer


NYSE
      Group, Inc.