The present invention addresses the problem of providing a hybrid vehicle control device such that a decrease in power performance due to supercharger response delay can be suppressed. A device (100) for controlling a hybrid vehicle (1) provided with an internal combustion engine (200) which includes a supercharger (250) and a NOx adsorption/reduction catalyst (215) and which is capable of operation at a lean air-fuel ratio relative to the stoichiometric ratio, and with a rotating electrical machine (MG2) is provided with: a means that determines whether a supercharger response delay is caused; a means that controls the torque of the rotating electrical machine so as to compensate for a lack of torque of a drive shaft in case the response delay is caused when an output limit value of a battery is not less than a predetermined value; a means that estimates a NOx adsorption amount of the NOx adsorption/reduction catalyst; and a means that controls the air-fuel ratio of the internal combustion engine to rich relative to the stoichiometric ratio in case the response delay is caused when the NOx adsorption amount is not less than a predetermined value or when the output limit value of the battery is less than a predetermined value.