From the perspective of system analysis the author examines the nature of competitiveness and identifies the factors that determine its content. In the basis of decision of question of criminal procedure competitiveness is the goal of proving the truth. In the domestic criminal procedure it is a material truth, that might be possible only when there are two consequences: the preliminary and judicial. If the first is in the form of search, the second - in compliance with the competitive procedures. Investigative pre-trial proceedings lead to such a construction of the court phase in which the leading role belongs to the judge, because as the guarantor of the legitimacy of one „master‖ of the case stands the subsequent examination of his work by other sovereign entity with the participation of the parties. Given article is devoted the problems arising of the right of persons, involved in criminal proceedings, on petitions and complaints. Attempt to modernize system of realization of the granted right becomes.