A pump apparatus includes a pump housing; a drive shaft; a pump element; a cam ring arranged to vary an inherent discharge amount based on the eccentric amount of the cam ring; a steering state sensing section configured to sense or estimate a steering angle, a steering angular speed or a steering angular acceleration, and to output the steering angle, the steering angular speed or the steering angular acceleration as a steering state sensing signal; and a solenoid configured to be controlled to suppress the eccentric amount of the cam ring so as to decrease the inherent discharge amount with respect to the steering state sensing signal when the vehicle speed is equal to or greater than a first predetermined vehicle speed, relative to the inherent discharge amount when the vehicle speed is smaller than the first predetermined vehicle speed.