In recent years, the theory and technology of model predictive control (MPC) had been greatly developed, enjoying a wide application prospect. Basic principles of MPC were summarized. Current research situation of MPC technology in the motor system was briefly compared and analyzed. The control scheme of finite control set model predictive control (FCSMPC) applied in the field of motor drive was researched. The research ideas of FCSMPC were summarized on several aspects such as value function design, reduction of computation, vector action number and improvement of robustness. In the end, some new ideas and new trends were recommended to be studied on the technology of FCSMPC for further research.