A hydraulic pressure supply system may generate low hydraulic pressure and high hydraulic pressure using oil stored in an oil pan and may supply the low hydraulic pressure and the high hydraulic pressure respectively to a low pressure portion and a high pressure portion in which the hydraulic pressure supply system may include: a low-pressure hydraulic pump; a first switch valve; a low-pressure regulator valve controlling the hydraulic pressure supplied from the first switch valve and supplying the hydraulic pressure to the low pressure portion; a high-pressure hydraulic pump discharging the raised hydraulic pressure to a high-pressure line; a second switch valve disposed between the first low-pressure line and the high-pressure line, a high-pressure regulator valve controlling the hydraulic pressure supplied from the high-pressure hydraulic pump and supplying the stable high hydraulic pressure to the high pressure portion; a bypass line bypassing the first switch valve.