The article analyzes new types of crimes committed on or through the Internet. Such crimes include Internet poisoning, driving to suicide, propaganda of extremism, skulshuting, distribution of pornographic materials, Internet pedophilia, sale of first sex, extortion, production and distribution of child pornography, participation in the webcam industry. The interpretation of the terms used to designate new types of crimes is given: cybermobbing and cyberbullying, cyber suicide, grooming, cyberbully, serial virgins, Internet pedophilia, webcam industry, premium and freemium. The role and tasks of the state in countering online and offline crime are justified.