A control method for CVVD apparatus at engine stop, the control method may include receiving, by a controller, vehicle operation information from an information detection portion, determining, by the controller, whether it corresponds to a stop of an engine through the vehicle operation information, determining, by the controller, a predetermined target valve duration of a CVVD apparatus according to a stopping type of the engine in the stop of the engine, controlling, by the controller, the valve duration of the CVVD apparatus according to the predetermined target valve duration determined by the controller, determining, by the controller, if a current RPM of the engine is lower than a predetermined control stop RPM, and stopping the controlling of the valve duration of the CVVD apparatus if the current RPM is lower than the predetermined control stop RPM.