For finite control set model predictive torque control of surface permanent magnet synchronous motor, a weight coefficient design method which balanced flux linkage control and torque control was proposed. A cost function without weight coefficient was given, which used relative error rates instead of errors to realize flux linkage and torque control. Simulation results showed that the system worked properly by using these two proposed cost functions, but the former strongly depended on motor parameters. As these two functions did not contain flux linkage constraint item, high stator flux ripple would occur under dynamic torque change. Therefore, the third cost function including flux linkage constraint item was proposed. Simulation results showed that it could decrease the stator flux ripple effectively. The fourth cost function was also proposed, which replaced the flux linkage control item with the flux linkage constraint item. Simulation results showed that the fourth cost function could also decrease the stator flux ripple, but the control performances was not as good as the above three cost functions.