The invention discloses an FPGA-based three-point piezoelectric driving fast steering mirror hysteresis compensation control system, which comprises an FPGA hysteresis compensation control module, an SGS micro-displacement sensor, an SGS micro-displacement signal conditioning and acquisition circuit, a piezoelectric ceramic driving circuit, an upper computer and a three-point piezoelectric driving fast steering mirror, and is characterized in that the three-point piezoelectric driving large-aperture fast steering mirror is a controlled object, the SGS micro-displacement sensor is integrated in a piezoelectric ceramic actuator, the SGS micro-displacement signal conditioning and acquisition circuit is connected with the FPGA hysteresis compensation control module, the piezoelectric ceramic driving circuit is connected with the FPGA hysteresis compensation control module, and the upper computer is communicated with the FPGA through a 422 interface. According to the system, the parallel processing characteristic of the FPGA is fully utilized, deployment of a PI inverse model based on parallel connection of multiple Stop operators on the FPGA and parallel hysteresis compensation control of multiple piezoelectric ceramic actuators are completed, the calculation delay of the system is shortened, the response speed of the system is increased, and high-precision, real-time and synchronous multi-piezoelectric compensation and control are achieved.