In a vane pump disposed inside a transmission case of a continuously variable transmission, a pump case (20), a pump drive shaft (8) rotatably supported by a shaft bore (9) of the pump case (20) to rotate a rotor (5), and a drain port (17), one end thereof being opened to a shaft bore (9) of the pump drive shaft (8) and the other end being opened to an outside of the pump case (20) are provided. A leaked oil flown via the drain port (17) from a pump discharge side is discharged to an outside of the pump case (20).