The precessional motion of a fullerene molecule during deformation of a section of a fullerite crystal was studied. The dynamic characteristics of the C60 fullerene molecule inside the crystal fragment were determined using the apparatus of classical mechanics using the model of atom-atomic interactions, the dynamic Euler equations, and the equation of the dynamics of translational motion. For numerical implementation, the Runge-Kutta method of the fourth order of accuracy is used. As a result of the performed numerical experiments, the effect of the rotation frequency of the fullerene molecule and the direction of deformation of the fullerite fragment on the ability of the C60 molecule to withstand the external forces was studied.