In this note, the most frequent types of computer crime on the Internet in Ukraine are analysed. It is suggested that international experience in computer crime investigation should be used to combat this because cybercrime has become an international problem, causing enormous damage to governments, commercial entities, and computer systems of individual users. Governments and commercial entities spend significant funds to prevent losing information and ensure its protection. Cybercrime is based on technical knowledge, which is difficult to detect or prevent. This type of criminal activity has a high latency because of the difficulty of determining the qualification of a criminal offence.