This work deals with cross-saturation effects in a linear synchronous reluctance motor (LSRM). A general magnetically nonlinear two-axis dynamic model of LSRM is introduced. It accounts for the effects of slotting, saturation, cross-saturation, anisotropy and the end effects. Parameters of this model are not constant. They are position and current dependent. This work focuses on analysis of cross-saturation effects. Therefore, the model parameters representing cross-saturation effects are identified. Their characteristics are determined by the finite element calculations and by experimental methods. The results obtained in this way are used to evaluate the effects of cross-saturation