A method for operating a hybrid vehicle is provided. The hybrid vehicle has a combustion engine and an electric motor each providing a torque for operating the hybrid vehicle. The hybrid vehicle has an exhaust gas system with a catalytic converter system for at least one exhaust gas component. An energy storage device stores and returns electric energy. At least one value of a catalytic converter activity is ascertained. The at least one value of the catalytic converter activity is compared with at least one given limit value. A torque addition of the electric motor is provided in dependence on the comparison result and on a status value of the energy storage device in order to influence activity parameters of the catalytic converter system wherein the torque addition is a motor torque addition or a generative torque addition. A hybrid vehicle is also provided.