There is provided a control device of an engine that includes a turbo-supercharger and a variable valve mechanism, the control device including: a valve timing change means; an ignition timing change means; a fuel injection amount change means; an acceleration request detection means; a supercharging pressure detection means; and an acceleration control means that corrects, when the acceleration request is detected, retarding of ignition timing in a low supercharging region where the supercharging pressure is lower than a predetermined value, that completes the correction of the retarding of the ignition timing in a high supercharging region where the supercharging pressure is equal to or higher than the predetermined value to provide a valve overlap and that changes the fuel injection amount such that an air-fuel ratio at which a mixture air of a scavenging gas and an exhaust gas is easily burned within an exhaust passage is provided.