A hybrid vehicle drive control apparatus is basically provided with an engine, a motor/generator, an electric power source and a controller. The electric power source exchanges electric power with the motor/generator. The controller selects between an EV drive mode in which a drive force is produced solely from the motor/generator and an HEV drive mode in which the drive force is at least partially produced from the engine. The EV drive mode and the HEV drive mode are based on at least a state of charge of the electric power source. The controller changes a state of charge region in which the EV drive mode is selected based on a degradation degree of the electric power source such that as the degradation degree of the electric power source becomes larger, the state of charge region in which the EV drive mode is selected becomes larger.