A controller configured to control a hybrid vehicle includes a catalyst temperature increase control unit configured to execute a catalyst temperature increase control of increasing a temperature of a three-way catalyst device, a motoring control of rotating a crankshaft of an internal combustion engine with power of a motor in a state in which combustion of the internal combustion engine is stopped, and a fuel introduction process of introducing unburned air-fuel mixture into an exhaust passage by performing fuel injection in the internal combustion engine during the execution of the motoring control.