In a toroidal continuously variable transmission the amount of traction oil provided to contact areas between the power rollers and the input and output discs is increased as a power to be transmitted is increased. Nozzle holes formed in rockable trunnions of the transmission so that the traction oil ejected from the nozzle holes is sprayed to circumferential positions of inner surfaces of input and output discs that are in contact with peripheral surfaces of power rollers. Transmission efficiency is enhanced while maintaining endurance and reliability without supplying excessive traction oil.