The UN Committee on the Comprehensive Terrorist Act has failed to persuade countries to adopt the draft UN convention. The only country that has unreservedly adopted the draft of this convention is India, which would also like to adopt a comprehensive convention relating to international terrorism. South America, the OIC and the United States of America are reluctant to accept it. It would also be advisable to get acquainted with European Union countries, including Poland, which, referring to the solutions adopted by the Security Council No. 1373 of 2001 and 1566 of 2004, should also rethink the draft UN convention taking into account the Comprehensive Terrorist Act this time.