An engine for a marine drive has a combustion chamber. An engine body of the engine defines an air intake port communicating with the combustion chamber. An air induction device communicates with the air intake port to introduce air to the combustion chamber through the air intake port. The air induction device includes a throttle valve to regulate an amount of the air. An air intake valve moves between an opening position and a closing position of the intake port. A camshaft actuates the intake valve. A VVT mechanism changes an actuating timing of the camshaft at which the camshaft actuates the intake valve. A control device controls the change mechanism. A throttle position sensor, an intake pressure or other sensors sends respective signals to the control device. The control device determines a sudden acceleration state of the engine based upon at least one of the signals. The control device triggers the VVT mechanism to advance the actuating timing based only upon the throttle opening degree signal when the control device determines the sudden acceleration state.