A controller for a hybrid vehicle includes a maximum regeneration torque calculator which calculates a motor generator maximum regeneration torque necessary for supplying power to an electricity storer and calculates each of an engine operation maximum regeneration torque for operating an engine changing in accordance with a vehicle speed and an engine stop maximum regeneration torque and a change value calculator which sets an engine stop prohibition vehicle speed in which an engine is not stopped when a vehicle speed is equal to or faster than a predetermined vehicle speed and calculates a maximum regeneration torque when stopping the engine at the engine stop prohibition vehicle speed as a maximum regeneration torque change threshold value from the engine stop regeneration torque of the maximum regeneration torque calculator.