Abstract: With a complex operating environment and flexible operating conditions, a small pressurized water reactor（PWR） requires stronger anti-interference ability and faster load following response speed. To establish a global core power control system, based on the fuzzy multi-model of reactor core, the core power fuzzy controller is designed, and the core power fuzzy control simulation system is established. Then the working conditions such as core inlet temperature step disturbance and core power reference step change are simulated. The results show that the designed core power fuzzy control system of small PWR is suitable for the global dynamic response of the reactor core, which can achieve ideal control effect.