A control apparatus of a hybrid vehicle having a first drive unit, a second drive unit, a HV battery, a shift control element, a battery state detection element, and a shifting-time drive control element. Furthermore, in the control apparatus, a battery balance control element is formed by an engine control element, a first motor control element, a second motor control element and the shifting-time drive control element. If the shift control element determines there is a need for shifting carried out by a stepped transmission, the battery balance control element calculates the amount of increase/decrease in the amount of charge of the HV battery in accordance with the state of the HV battery, and changes the engine operation point on the basis of the calculated amount of increase/decrease in the battery charge, prior to the shifting.