An engine system includes an engine including first and second cylinders, a catalyst provided in an exhaust passage of the engine, and a control device for the engine. The control device includes a fuel cut control unit configured to execute a specific cylinder fuel cut process of stopping supply of fuel to the first cylinder and supplying fuel to the second cylinder when there is a request to warm up the catalyst, an injection amount control unit configured to increase a fuel injection amount in the second cylinder at a predetermined increase rate during execution of the specific cylinder fuel cut process, as compared to a case where the specific cylinder fuel cut process is stopped, and an injection timing control unit configured to advance a fuel injection timing in a compression stroke of the second cylinder during execution of the specific cylinder fuel cut process is stopped.