A hydraulic control apparatus of a continuously variable transmission of a hybrid vehicle may include a D-N control valve that converts a state, in which a hydraulic pressure is supplied from a line regulator valve to a solenoid feed valve through a second regulator valve according to changes of a driving pulley control pressure and a clutch lubrication control pressure with respect to driven pulley control pressure, and a state, in which the hydraulic pressure from the line regulator valve is directly supplied to the solenoid feed valve, into each other.