The invention relates to a control method of a cylinder deactivation and an engine to which the same is applied. The engine includes: a duration apparatus for adjusting an opening duration of an intake valve, a Cylinder De-Activation (CDA) apparatus for controlling deactivation of an 
exhaust valve, an igniter, an 
injector for injecting a fuel, an operation state 
signal unit for measuring an operation state of a vehicle, and a controller for controlling the operations of the duration apparatus, the CDA apparatus, the igniter, and the 
injector based on an output 
signal from the operation state 
signal unit. A control method for this engine includes: determining, by the controller, whether the operation state of the vehicle corresponds to a CDA 
operation mode; and when the CDA 
operation mode is determined, operating the CDA apparatus so as to stop the operations of the igniter and the 
injector, increase an opening duration of the intake valve, and deactivate the 
exhaust valve by controlling the CDA apparatus.