Based on the analysis of scientific provisions and criminal procedural legislation, the article concludes that the prosecutor exercises the power to demand the elimination of law violations committed by investigation bodies during pre-trial proceedings by using а separate act of response called a prosecutor’s demand. The Author formulates the signs of prosecutor’s demand, considers the discussed issues of its application in pre-trial proceedings, including the supervision of the procedural activities of the inquiry bodies, as well as its use at the stage of initiating a criminal case. It is proposed to supplement article 37 of the Criminal Procedure Code with the provisions regulating the grounds and procedure of using this act.