In a hydraulic pressure supply apparatus for an automatic transmission having hydraulic pressure supply destinations comprising at least three hydraulic actuators different from one another in required hydraulic pressure and a lubrication system, there are provided with at least three, actually five, hydraulic pumps, at least three, actually five, regulator valves capable of regulating hydraulic pressures delivered from the hydraulic pumps to values corresponding to the respective required pressures to be supplied to the hydraulic pressure supply destinations, and the selector valves installed between the hydraulic pumps and the regulator valves, wherein the operation of the selector valves is controlled to connect the hydraulic pumps to the regulator valves in accordance with the flow rates required by five hydraulic pressure supply destinations comprising the hydraulic actuators and the lubrication system.