An object of the present invention is to control a supercharge pressure in such a manner as not to interfere with warming-up of an exhaust gas purifying catalyst, in an internal combustion engine with a turbo supercharger. To this end, a control device for an internal combustion engine with a turbo supercharger provided by the present invention makes a determined value of a target supercharge pressure with respect to a same target intake pressure smaller when a request to warm up the exhaust gas purifying catalyst is present, as compared with when the request is absent. Note that the target intake pressure is determined based on a target air amount determined from a requested torque for the internal combustion engine. The present control device operates a throttle based on the target intake pressure and an actual supercharge pressure, and operates a wastegate valve based on the target supercharge pressure.