EXHIBIT 31.1

   CERTIFICATION BY THE CHIEF EXECUTIVE OFFICER PURSUANT TO SECTION 302 OF THE
                           SARBANES-OXLEY ACT OF 2002

I, Kobi Alexander, Chairman of the Board and Chief Executive Officer of Comverse
Technology, Inc., certify that:

           1. I have reviewed this annual report on Form 10-K of Comverse
Technology, 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;
       and

           d) Disclosed in this report any change in the registrant's internal
       control over financial reporting that occurred during the registrant's
       fourth fiscal quarter that has materially affected, or is reasonably
       likely to materially affect, the registrant's internal control over
       financial reporting.

           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:  April 4, 2005
                                                  /s/ Kobi Alexander
                                                 -------------------------------
                                                 Kobi Alexander
                                                 Chairman and CEO
                                                 Principal Executive Officer