A continuously variable valve timing apparatus may include an end plate connected to a camshaft, a drive sprocket rotating the end plate, a first friction plate disposed to be coaxial to the end plate, a second friction plate disposed to be coaxial to the end plate, a first brake selectively braking the first friction plate, a second brake selectively braking the second friction plate, and a control gear portion which changes relative phase between the end plate and the drive sprocket according to braking of the first friction plate or the second friction plate.