**Exhibit
      31.1**





**CEO
      CERTIFICATION PURSUANT TO SECTION 302 OF**


**THE
      SARBANES-OXLEY ACT OF 2002**





I,
      Robert E. Mellor, certify that:





1.  I
      have reviewed
      this quarterly report on Form 10-Q of Building Materials Holding Corporation
      (Registrant);





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 officers 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)) and internal control over financial reporting (as defined in
      Exchange Act Rules 13a-15(f) and 15d-15(f)) 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 report is being prepared;





(b)  designed
      such
      internal control over financial reporting, or caused such internal control
      over
      financial reporting to be designed under our supervision, to provide reasonable
      assurance regarding the reliability of financial reporting and the preparation
      of financial statements for external purposes in accordance with generally
      accepted accounting principles;





(c)  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





(d)  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 (the
      Registrant’s fourth quarter in the case of an annual report) 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 officers 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:





(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:  August
                3, 2005
            */s/
                Robert E. Mellor*Robert
                E.
                Mellor
              Chairman
                of
                the Board, President and Chief Executive Officer (Principal Executive
                Officer)