The computational method of the face recognition in a continuous video stream using deep neural networks is offered, that is effective in terms of accuracy and high-speed performance. Adapted architectures of deep neural networks are proposed: the modified MobileNet v2 neural network and the original dual network for identifying a person by face image. The original databases for neural networks are developed. Natural experiments are made, and the characteristics of accuracy and speed of problem solutions were evaluated. To solve the problems video tracking of persons in real time the software modules of the intelligent access control system in Python are developed.