A control device of a hybrid vehicle including an electric motor and an engine as drive force sources, the hybrid vehicle being configured to execute engine running using the engine as the drive force source for running and motor running using the electric motor as the drive force source for running with the engine stopped, the control device having a predefined running performance oriented running mode such as a sport running mode and a predefined large drive force running mode with a lower requirement degree of start acceleration performance as compared to the running performance oriented running mode, in the predefined running performance oriented running mode, the motor running being inhibited, the engine running being performed in an operation range in which the motor running is normally performed, and the engine being retained in an operating state at the time of vehicle stop, and in the predefined large drive force running mode, the motor running being inhibited, the engine running being performed in the operation range in which the motor running is normally performed, and the engine being stopped at the time of vehicle stop.