A fuel injection control device for an engine including a cylinder injector and an air intake passage injector is provided. The device changes a fuel injection style, from a compression stroke cylinder injection by the cylinder injector which is executed from a predetermined instant immediately after the beginning of the cold start of engine until a predetermined period has passed, to the combination of an air intake passage injection by the air intake passage injector, an intake stroke cylinder injection and a compression stroke cylinder injection by the cylinder injector which is executed after the predetermined period has passed. During the cold start of engine, the favorable combustion stability is obtained by the compression stroke cylinder injection before the predetermined period has passed, and an amount of HC is reduced after the passage of the predetermined period, promoting warming-up of catalyst.