This work is dedicated to the construction of the inverted pendulum model, converting and the following implementation of the model in a virtual reality. The model will be built in the computer-aided design system AutoCAD, developed by Autodesk. Animation will be implemented on the game engine Unreal Engine 4, supported by Epic Games. The implementation of the model will take place by applying a mathematical model of inverted pendulum in MATLAB. Computer software system 3Ds Max, further developed by Autodesk, will be used to convert the three-dimensional model. In the course of this work author is going to give sight of all the above programs and describe the main problems of construction, converting and implementation of the current model. Various courses of solutions will be considered and explained as well as the way author came to them and why do they have the right to exist. The work also contains graphical representations of models and calculation algorithms of animation’s behavior. Animated inverted pendulum model in virtual reality, created by author, could be used as demonstrative example of model behavior in the real time, which could help not only with understanding of the physical nature of the model, but also with solving problems, related the current subject. The existing inverted pendulum model, assembled by Inteco company, will be taken as a base.