The invention provides an electro-hydrostatic pump control rotary steering engine. The electro-hydrostatic pump control rotary steering engine comprises a brushless direct current motor, a hydraulic pump, a single redundancy/multiple redundancy swinging cylinder and a potentiometer; the brushless direct current motor is connected and fixed with a hydraulic pump shell, and the middle is connected through a shaft; a motor pump unit is fixed on a valve block; a high-pressure oil port, a low-pressure oil port and a leaking oil port of the motor pump communicate with an oil path on the valve blockrespectively; the single redundancy/multiple redundancy swinging cylinder is fixed on the valve block; a high-pressure control oil port and a low-pressure control oil port of the swinging cylinder communicate with an oil port on the valve block respectively; one end of an output shaft of the swinging cylinder is connected with a control plane and the other end of the output shaft of the swinging cylinder is connected with the potentiometer; and the brushless direct current motor, the hydraulic pump and a valve group form a redundancy system. Compared with an existing electric steering engine and an existing hydraulic steering engine, the electro-hydrostatic pump control rotary steering engine has the following advantages: mechanical structures are not liable to be blocked; and furthermore,a concentrated hydraulic pump source system is not needed, multiple redundancy configuration is formed simply, safety, reliability and maintainability are greatly improved, and advantages in the fields of aerospace and the like are significant.