Multi-step model prediction control (MPC) of permanent magnet synchronous motor (PMSM) has a large computation. In order to solve the problemthe event trigger mechanism is introduced into PMSM multi-step model predictive torque control (MPTC). The event trigger mechanism is based on torque errorstator flux error and times of continuous event triggering. If the event is triggeredthe MPTC uses the voltage vector of control sequence in the most recent multi-step prediction directly to calculate the sampling period and does not carry out the multi-step prediction. Simulation results show that the PMSM MPTC based on event trigger can work properly. Compared with conventional MPTCthe torque and stator flux ripples of PMSM MPTC increase mildly as rolling optimization is sacrificed when the event is triggeredbut average switching frequency and computational burden decrease.