EXHIBIT 31.1

                CERTIFICATION OF REGISTRANT'S CHIEF EXECUTIVE
                     OFFICER REQUIRED BY RULE 13a-14(a)

I, Peter J. Murphy, certify that:

1.  I have reviewed this Quarterly Report on Form 10-Q of Parlex
    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(s) 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(s) 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: February 14, 2005                /s/ Peter J. Murphy
                                       -------------------
                                       Peter J. Murphy
                                       President & Chief Executive Officer


<PAGE>