An oil supplying apparatus for a vehicle, includes an engine driven mechanical oil pump, a hydraulic actuator operated by pressure of oil supplied from the engine driven mechanical oil pump to the hydraulic actuator, an engine lubrication device lubricating each member of the engine with the oil supplied from the engine driven mechanical oil pump, and a priority flow valve selectively establishing priority flow and secondary flow conditions when a low oil pressure is working on the hydraulic actuator and when a high oil pressure is working on the hydraulic actuator, respectively, the priority flow condition allowing an oil supply from the engine driven mechanical oil pump to the hydraulic actuator with priority over an oil supply from the engine driven mechanical oil pump to the engine lubrication device, the secondary flow condition allowing the oil supply from the engine driven mechanical oil pump to the engine lubrication device.