EXHIBIT 31.1

                     RULE 13a-14(a)/15d-14(a) CERTIFICATION

    I, Frank M. Jaehnert, certify that:

        (1) I have reviewed this annual report on Form 10-K of Brady
    Corporation;

        (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 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 (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; 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: October 8, 2004

/s/ FRANK M. JAEHNERT
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(Frank M. Jaehnert)
President and Chief Executive Officer