To provide a hybrid-vehicular control apparatus capable of preventing the engagement of an OWC by dragging torque via a lubricating oil in cranking an engine. A control apparatus, for use in a hybrid vehicle in which dragging torque is applied to an OWC connected to an engine in an engagement direction when cranking the engine, performs: temperature-rise control for raising a temperature of a lubricating oil of the OWC when cranking the engine with a motor (step S2); and, after the temperature-rise control, cranking the engine with the motor (step S4).