A mathematical model with continuoustime parameter state space equations was established for magnetically suspended and electrically excited threephase linear synchronous motor (MSEETPLSM). The continuoustime model was discretized into the model with discretetime parameter state space equations using the forward difference method, and then rewritten in the standard form of recursive least squares algorithm through ztransformation. The resistance and selfinductance parameters of MSEETPLSM were identified by recursive least square algorithm under the static state of the primary rotor. Simulation software was used to simulate the off line identification algorithm of MSEETPLSM parameters, and the time domain identification curves of primary and secondary resistances and inductances of MSEETPLSM were obtained. The simulation curves converged fast and the identification results showed high accuracy. The effectiveness of the off line identification algorithm of MSEETPLSM parameters is proved.