This work presents the investigations of frequencies of the self torsion vibrations group and individual traction drive of locomotives. As an example a traction drive of diesel – train DR1 was chosen. For the system of traction drive the expressions of kinetic and potential energy have been completed. With the use of the Lagrange equations of second type the equations of motion of the system were made. The decision of the equations of motion was conducted by the mathematical simulation of dynamic processes and used the special software - MATHCAD. The investigations of a diesel - train DR1 traction drive self vibrations are made with and without the resilient interaction (creep) of wheel with a rail. The obtained results allow estimating the role of influencing of the resilient sliding of wheel on rails. These results also demonstrate how torsion vibration frequencies differ with the use of individual and group traction drives. It enables a rational choice of the proper traction drive.