An engine control device controls a cylinder direct fuel injection type spark ignition engine provided with a fuel injection valve configured to directly inject fuel to a cylinder and an ignition plug configured to perform spark ignition for a gas mixture inside the cylinder. In a case where it is necessary to warm up an exhaust gas purifying catalyst disposed in an exhaust passage, the engine control device executes a catalyst warm-up operation in which a fuel is injected at a timing during the compression stroke, and at a timing when the fuel spray colliding with the piston crown surface moves toward the ignition plug along the shape of the piston crown surface, and in which the ignition timing is after compression top dead center. The engine control device advances the fuel injection timing in accordance with an increase in an estimation amount of a liquid fuel remaining on the top surface of the piston during execution of the catalyst warm-up operation.