In the present paper, the dynamic interaction between a bogie of a modern railway passenger car and a track is considered with the help of a discrete-continuous mechanical model. This model enables us to investigate the bending-torsional-axial vibrations of the wheelsets coupled with the vertical and lateral vibrations of the track through the wheel-rail contact forces. The numerical results are obtained in the form of frequency response functions for the linearized bogie-track system as well as by means of computer simulation of forced vibrations performed for the non-linear system. Particularly severe interaction between the bogie and the track is caused by kinematic and parametric excitation from the track and by kinematic excitation due to wheel tread polygonalization.