Terrorism is a specific form of political rule of violence. The modern legal countries are faced with threats which arise from terrorist actions. That kind of political violence seriously undermines the fundamental values of democratic political systems incorporated in their constitutional acts: the basic rights and freedom of peaceful enjoyment of property right and the peaceful enjoyment of political rights. That way, this negative social phenomenon is an antipode to democracy that has been established or there is streaming to its establishment in society. Terrorism can be observed from the perspective of criminal and international law, criminology, criminalistics. Terrorism in this work attracts attentions of its authors from the perspective of political science and constitutional law. Free, secret and general elections and a goverment that has won the trust of people's representatives elected by such voting are inherent (natural) to democratic political system. Terorizam was, still is and will remain violence, so it is always the opposite of democracy in society. The state must have a clear and effective response to terrorism as an attack on state constitutional order. The respone of the state to terrorist acts must not be accompanied by violations of human rights and freedoms. The state must avoid distortion of the democratic order or its basisin its response to any attack against the constitutional order by the terrorist groups.