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Exhibit 31.1 CERTIFICATION OF THE CHIEF EXECUTIVE OFFICER
REQUIRED BY RULE 13A-14(a) OF THE EXCHANGE ACT I, Noam Lotan, certify that: 1. I have reviewed this Annual Report on Form 10-K of MRV Communications, 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 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 accounting
principles generally accepted in the United States;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 registrants board of directors (or persons performing the equivalent function):  a.
    all significant deficiencies and material weakness in the design or operation
of internal control our 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. Date: March 7, 2005/s/ Noam LotanNoam LotanPresident and Chief Executive Officer 94