EXHIBIT 31.1
  RULE 13a-14(a)/15d-14(a)
    CERTIFICATION BY THE CHIEF EXECUTIVE OFFICER
    1.
    I have reviewed this annual report on
    Form 10-K
    of United States Lime & Minerals, 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))
    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; andd)
    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 fiscal 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 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 the 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; andb)
    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.  Dated: March 2, 2010

/s/  Timothy
    W. ByrneTimothy
    W. ByrnePresident and Chief Executive Officer