A dynamic tire friction model based on the comprehensive LuGre friction model has been proposed recently for the case of pure longitudinal motion. An extension of the model for combined longitudinal and lateral motion, including calculation of the self aligning torque, is presented in this paper. The extended model is derived for both uniform and non-uniform normal pressure distributions. The model steady-state behavior is validated with respect to Pacejka static tire model, which served as an "ideal" benchmark. Possible further improvements of the proposed model are also addressed.