A hybrid vehicle control apparatus includes a first clutch disposed between an engine and a motor, and a second clutch disposed between the motor and a driving wheel. A lockup controller performs a lockup operation to shift the second clutch from slip state into completely engaged state when a predetermined lockup condition is satisfied under a condition that the second clutch is in the slip state. A second clutch transmitted torque capacity controller performs a lockup-condition second clutch control to control transmitted torque capacity of the second clutch to a value higher by a set quantity than an input torque to the second clutch while the lockup operation is being performed. The input torque corresponds to a state of depression of an accelerator pedal during the shifting of the second clutch from the slip state into the completely engaged state.