A dynamic model of coupled torsional-bending oscillations of bevel drive is developed. By method of principal coordinates bending oscillations of bevel gear rim represented as superposition of natural forms. A frequency response of system by torque dynamic component, axial displacement and equivalent stress in gear rim are calculated. A correlation between different parameters of system’s oscillations is calculated. Resonance frequencies obtained by frequency response are compared with natural frequencies of isolated torsional and bending systems. Influence of gear profile modification on frequency response by dynamic transmission error and dynamic stresses in gear rim is studied.