The development of mankind is rapidly rising in spirals of time and space, yesterday unknown today becomes a clear everyday life. In the future, total digital control over society will make it possible to decriminalize human relations, and the inevitability of punishment will become mandatory. It is clear that crimes, in turn, will also mutate to get around the law again and again. There is endless competition between proving crimes and opportunities to avoid punishment. In this age-old pursuit, the rule of law often suffers, and, as a consequence, justice also suffers. A necessary element of the legal procedure is the requirement of speed of criminal proceedings, as indicated by the basic international documents. Thus, according to Article 14 (3) of the International Covenant on Civil and Political Rights, "everyone has the right to a court to hear his case without undue delay". And in of Article 28 (5) of the Criminal Procedure Code of Ukraine states: "Everyone has the right to have charges brought against him as soon as possible or to be brought to trial or to have the relevant criminal proceedings closed." To ensure the speed of the criminal process, the question of using unconventional methods of proving crimes, which will undoubtedly help in this, is of interest. The article explores the prospect of using such unconventional methods of proving crimes in Ukraine as polygraph, hypnosis, clairvoyance and telepathy. The experience of foreign states, conditions of application, general recommendations on the use of investigated methods in criminal proceedings are analyzed. The necessity of legislative regulation of unconventional ways of proving crimes in Ukraine is studied.