The topic of the article is the problem of the actuator dynamics simulation for the training complexes. Usually, when the mathematical model for a motor is formulated, its passport parameters are used: starting torque, idle speed and electromechanical time constant. The actuator creates the control action, which makes it possible to control the relative motion of the two joining rigid bodies. For the real-time dynamic simulation of the articulated rigid bodies the method of the sequential impulses is proposed. within this method the actuator dynamics is realized by means of a special constraint, which correlates the bodies' coordinates with the engine's angle rotation. In order to model the complex mechanisms, which are controlled by a single motor, a special "repeater" constraint is proposed. This constraint allows us to simulate the movement of the manipulator gripper jaws. The method of the sequential impulses with stabilization on the basis of the split impulses is iterative, while the use of the specific criterions for the end of iteration allows a real-time simulation. jhe proposed algorithms and methods are implemented in the software modules written in C+ +. Their approbation was carried out in a dynamic subsystem for a robot simulator. The studies demonstrated that the proposed methods and algorithms allow us to solve the problems, associated with implementation of different kinds of robots control. Such technologies can also be used in the virtual labs, simulation complexes, systems of augmented virtual environment and other applications.