The article is devoted to the features of the Russian sign language, the difficulties of computer translation. The analysis of modern notations of sign language and the possibility of their use for the development of the Russian sign language are presented. The use of Dimskis notation for demonstrating gestures is explained. The main characteristics of Dimskis notation and the features of its use in computer realization are considered. We consider the main 3D graphic packages for the implementation of the animation character. Using the modern cross-platform graphics package Unity 3D for the animated model of the sign language interpreter us allows to create an economical and efficient system. The possibilities of the software complex on the basis of Dimskis notation and an animated 3D character using Unity 3D gestures for demonstration are described. The stages of creating the dictionary of the Russian sign language and compound phrases are considered. In conclusion, the authors present the main results of the work and the prospects for its further development. Using the Dimskis notation allows the users knowing the Russian sign language to supplement the glossary of terms to use the dictionary for demonstrating words and complex phrases. The proposed approach makes it possible to create "lessons" on specific topics for training.