EXHIBIT 31.1

                            CERTIFICATION PURSUANT TO
                  SECTION 302 OF THE SARBANES-OXLEY ACT OF 2002

I, Bernard L. Kasten, M.D., certify that:

      1.    I  have   reviewed   this  annual   report  on  Form  10-K  of  SIGA
            Technologies, Inc.;

      2.    Based on my  knowledge,  this  annual  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 annual report;

      3.    Based on my knowledge, the financial statements, and other financial
            information  included in this annual  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 annual 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  annual  report  is being
                  prepared;

            (b)   Evaluated the  effectiveness  of the  registrant's  disclosure
                  controls and  procedures  and  presented in this annual 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  fourth fiscal  quarter 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 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:  March 30, 2005                         By:  /s/ Bernard L. Kasten, M.D.
                                                   ---------------------------
                                                   Bernard L. Kasten, M.D.
                                                   Chief Executive Officer