An engine control device (1) for an engine provided with a supercharger (30), including a cylinder injection valve (11), a port injection valve (12), and a variable valve actuating mechanism (40). The device includes an injection controller (3) that controls injections of fuel through the cylinder injection valve (11) and through the port injection valve (12), on the basis of a rotation speed Ne of the engine (10), and a variable valve controller (5) that controls the variable valve actuating mechanism (40) on the basis of the rotation speed Ne. The variable valve controller (5) provides a valve overlap period in a first rotation speed region, and shortens the valve overlap period in a second rotation speed region of greater rotation speeds Ne than in the first rotation speed region. The injection controller (3), in the period during which the rotation speed is shifting from the first rotation speed region to the second rotation speed region, carries out a cylinder injection and a port injection, and advances timing for injecting the fuel through the port injection valve (12).