The modern conception of criminalistics is based on the physical interpretation and subsequent mathematical processing of basic forensic problem, the correct interpretation of traces of the crime to reconstruct this crime and identify the perpetrator. In the present communication is implied theory systemic approach in the process of criminalistics identification (object, systems, biometrics), and are more, there are explored stochastic identification possibilities and many aspects of stochastic criteria in a practical expertise, modern new approaches and concepts in forensic identification in connection with substantiating evidence in criminal proceedings in relation to the possibilities of forensic experts.