The vehicle drives is one of the major sources of excitation of transverse vibrations propeller shafts kinematic excitation edge of the shaft due to spatial oscillations of the drive unit. The paper presents a method for calculating the dynamic deformation of the propeller shaft due to spatial oscillations of the drive unit. For the calculation method is used to transfer matrices. The kinematic excitation is implemented in the calculation using the boundary conditions. It is calculated course of deflection, and the other elements of the state vector (slope deflection lines, bending moment, shear force) along the length of the shaft, the angular velocity in the area below the resonance and over the resonance. The method has been debugged and verified on real variant of the vehicle and is in good agreement with the calculation made independently modal and spectral properties propshaft.