The article is devoted to the analysis of the evidences to be proved in criminal proceedings at the time of drug trafficking investigation, psychotropic substances its analogues and precursors orfalsified medicine. Besides, it is determined that the subject of a crime lies within the scope of evidences that must be proved in drug trafficking investigation, envisaged in article 305 of the criminal code of Ukraine. It is admitted that the subject of proof is common for the whole criminal procedure, moreover, it is specified while investigating in every concrete case.