The authors analyze the procedure for examining the complaints addressed to the investigating judge in accordance with the provisions of Article 313 of the Code of Criminal Procedure of the Republic of Moldova. Given the summary nature of the rules of criminal procedure, jurisprudence was used to elucidate the stages of examination of complaints - verification of admissibility; preparatory stage; judicial investigation; deliberation and pronouncement of the conclusion. It was assessed the appropriateness of engaging in these proceedings, in addition to the parties to the proceedings and other persons who might claim to infringe a legitimate interest or a fundamental right by the investigating judge resolving the appeal. At the center of the authors’ attention were also the possible limits to guaranteeing the right to a fair trial - equality of arms; access to the materials of the criminal case, ec. Starting from the interpretation and application by analogy of the procedural-criminal norms, the proposal to expressly regulate - the examination of complaints in accordance with the general conditions for the substantive trial of criminal cases, but applied accordingly, is argued.