A convergence determination of intake valve phase control is made by comparing a phase deviation of an intake valve from a target phase with a convergence determination value. At the time of convergence, it is determined that the intake valve phase has reached the target phase, so that the required phase-change amount of a camshaft is set to zero and therefore the actuator operation amount is also set to zero. At the time of engine stop when the target phase has a fixed value, after convergence of the intake valve phase control, the operation of the actuator is stopped. In addition, during the course of engine stop, the convergence determination value is set to be switched from the time of engine operation so that the convergence determination of the intake valve phase control is made in more relaxed conditions compared with at the time of engine operation.