A hybrid vehicle control apparatus configured to control a hybrid vehicle having an engine, a first electrical rotating machine, a second electrical rotating machine, a power supply, and an engagement mechanism, is provided with: a specifying device configured to specify a state of the power supply; and a controlling device configured to select and perform one control on the basis of the specified state of the power supply and required torque of engine brake, from among a plurality of controls including (1) first control in which the engagement mechanism is controlled to be in a disengaged state and the first electrical rotating machine is controlled according to the required torque of the engine brake and (2) second control in which the engagement mechanism is set to be in an engaged state and the second electrical rotating machine is controlled according to the required torque, if the engine brake is required.