Title: Terrorism and cyberterrorism as threats for the present Objectives: Describe the principle, history and typology of terrorism. Approach and describe the problematics of cyberterrorism. Analyze and compare available terrorist attacks which happened from 11th September 2001 to 19th February 2020. Methods: The theoretical part was developed on the basis of study, analysis and research from Czech and foreign literature about problematics of terrorism and cyberterrorism. The practical pard included the collection of electronic and printed information about terrorists attacks which were further analysed and compared using five factors, which were: the year of terrorist attack, method of execution, country that tooked place of the attack, number of injured and number of victims. Results: The result of this diplama thesis is the description of the principle, history and typology of terrorism, description of problematics of cyberterrorism and analysis of terrorist attacks which happened from 11th September 2001 fo 19th February 2020. Keywords: Terrorism, terrorists, attack, cyberterrorism, threat.