The invention discloses an active electric power steering system capable of changing a steering system transmission ratio, which comprises a steering wheel, a steering column, a steering angle sensor, a torque sensor, a worm gear speed reducer, an assisted motor, a gear rack steering gear, an infinitely variable transmission, a steering angle speed ratio adjustment motor which drives the infinitely variable transmission, a wheel speed sensor, a gyroscope and a steering system controller. The gear ratio control adjustment motor realizes the continuous and smoothly infinite variation of steering transmission ratios at different vehicle speeds, and also can perform steering angle compensation; and in the steering transition of a vehicle, negative steering adjustment is actively performed, and in the steering process, the adjustment motor and the assisted motor perform flexible control and compensate for each other, thereby perfectly combining steering flexibility, convenience and operation stability and improving maneuvering performance and security performance.