A hybrid vehicle, comprising: an internal combustion engine; a catalytic converter including a catalyst for purification of an exhaust gas emitted from the internal combustion engine; an electric power-mechanical power input output assembly connected with a first axle as one of axles of the hybrid vehicle and with an output shaft of the internal combustion engine and configured to input and output power from and to the first axle and the output shaft through input and output of electric power and mechanical power; a motor configured to input and output power from and to either the first axle or a second axle different from the first axle; an accumulator configured to transmit electric power to and from the electric power-mechanical power input output assembly and the motor; an allowable charging power setting module configured to set an allowable charging power to charge the accumulator based on a state of the accumulator; an operating condition setting module configured to set an object operating condition selected among multiple operating conditions that define different specifications of a driving force restriction of setting a driving force demand required for driving and a drive point restriction of setting a target drive point of the internal combustion engine corresponding to the set driving force demand; a driving force - drive point setting module configured to set the driving force demand and the target drive point of the internal combustion engine based on the selected object operating condition; and a controller configured to control the internal combustion engine, the electric power-mechanical power input output assembly, and the motor to drive the internal combustion engine at the set target drive point, characterized by a fuel cutoff determination module configured to determine prohibition or permission for cutoff of fuel supply to the internal combustion engine, based on the set allowable charging power; and a fuel increase relation setting module configured to set a fuel increase relation based on the selected object operating condition, the fuel increase relation representing a relation between the allowable charging power and an increase restriction of a fuel supply amount to the internal combustion engine for temperature regulation of the catalyst, wherein the controller is configured to control the internal combustion engine, the electric power-mechanical power input output assembly, and the motor to drive the internal combustion engine at the set target drive point with an increase of the fuel supply amount according to the increase restriction defined by the set allowable charging power and the set fuel increase relation in response to a result of the determination by the fuel cutoff determination module and to ensure output of a driving force based on the set driving force demand. an internal combustion engine; a catalytic converter including a catalyst for purification of an exhaust gas emitted from the internal combustion engine; an electric power-mechanical power input output assembly connected with a first axle as one of axles of the hybrid vehicle and with an output shaft of the internal combustion engine and configured to input and output power from and to the first axle and the output shaft through input and output of electric power and mechanical power; a motor configured to input and output power from and to either the first axle or a second axle different from the first axle; an accumulator configured to transmit electric power to and from the electric power-mechanical power input output assembly and the motor; an allowable charging power setting module configured to set an allowable charging power to charge the accumulator based on a state of the accumulator; an operating condition setting module configured to set an object operating condition selected among multiple operating conditions that define different specifications of a driving force restriction of setting a driving force demand required for driving and a drive point restriction of setting a target drive point of the internal combustion engine corresponding to the set driving force demand; a driving force - drive point setting module configured to set the driving force demand and the target drive point of the internal combustion engine based on the selected object operating condition; and a controller configured to control the internal combustion engine, the electric power-mechanical power input output assembly, and the motor to drive the internal combustion engine at the set target drive point, characterized by a fuel cutoff determination module configured to determine prohibition or permission for cutoff of fuel supply to the internal combustion engine, based on the set allowable charging power; and a fuel increase relation setting module configured to set a fuel increase relation based on the selected object operating condition, the fuel increase relation representing a relation between the allowable charging power and an increase restriction of a fuel supply amount to the internal combustion engine for temperature regulation of the catalyst, wherein the controller is configured to control the internal combustion engine, the electric power-mechanical power input output assembly, and the motor to drive the internal combustion engine at the set target drive point with an increase of the fuel supply amount according to the increase restriction defined by the set allowable charging power and the set fuel increase relation in response to a result of the determination by the fuel cutoff determination module and to ensure output of a driving force based on the set driving force demand.