The objective of this article was to identify the characteristics of crime investigation in the action of provoking someone's suicide on the Internet, identifying the main problems, characteristics of the investigation and prospects for improvement of the crime investigation methodology. For the development of the article the following methods were used to meet the objectives: comparative legal method, historical and comparative methods, which made it possible to analyze the state, problems, and prospects for the development of Ukrainian legislation in the field of liability for causing someone to commit suicide. The article also involves the method of systematization, which provided the opportunity to study the genesis and changes in the legislation that regulates the matter. It was concluded that there was a lack of good practices and an effective system for investigating Internet crimes, due to the peculiarities of the development and use of the Internet, as well as rapid technological advancement. Comparing the experience of the EU and the US, it was determined that preventive and educational functions are the main ones in this area, helping to prevent relevant crimes.