This article provides a theoretical analysis of the conditions and specifics of the consideration of criminal cases with the participation of jury. The aspect of the provision of psychological influence by the participants in the trial on the jury by means of a system of psychological techniques that form the prejudice of the jury against the defendant is disclosed. Currently, the selection of candidates for jurors does not include psychological evaluation criteria. But, in order to avoid making erroneous decisions by the jury, they need to be prepared to confrontation psychological pressure from opposite sides, to teach them the ability to resist manipulation. During the trial the defense and prosecution parties try to form the attitude of the jury towards the defendant, which corresponds to their position. The methods of forming the convictions of jurors correspond to the modern direction of applied psychology. The degree of awareness of the jury about the evidence examined and the rules for its assessment is a cognitive condition for overcoming the formation of the necessary conviction in the jury, because the defendant and the prosecutor and defense parties of the trial use manipulative techniques as methods of influence, mechanisms of covert control: deception, intimidation, etc. It is advisable, prior to participating in a trial, to give the jury the foundations of the psychological knowledge they need. At the same time, it is hardly realistic, in the existing normative conditions, to form their knowledge of the general laws of the functioning of mental processes, the characteristics of the individual’s activity and his personal characteristics that determine the productivity of the implementation of mental cognitive processes in the framework of a specific situation that has legal significance. But you can pay special attention to the emotional stability of the individual, aggressiveness, introversion, rigidity in the spheres of interpersonal relationships and the resolution of difficult situations of professional activity.