Automation of production processes using robots is a priority for the development of many industrial enterprises. Robotization is aimed at freeing a person from dangerous or routine work. At the same time, robots are able to perform tasks more efficiently than human, and the collaboration of a human and a robot allows to combine the strengths and effectiveness of robots and human cognitive ability into a single flexible system, and as a result, organize flexible methods of automation and reconfiguration of production processes. In this work, we focused on the implementation of the method of interaction between a person and a robot based on the recognition of gesture commands of a human-operator. An approach based on extraction a human skeleton and classification using a neural network is proposed as a method for recognizing actions. To test the effectiveness of the proposed algorithm, the possibility of transmitting gesture commands to the robot and organizing a contactless control method of the robot, simulation modeling was carried out in the RoboGuid environment. This environment is for industrial robots, provided by Fanuc.