A method for operating a brake system of a vehicle, in particular a motor vehicle, including at least one wheel brake having a displaceable brake piston and an electric motor first actuator of a parking brake and a hydraulic second actuator of an operating brake for displacing the brake piston in each case. For operating the parking brake, the electric motor first actuator is activated in order to set a specifiable target clamping force of the wheel brake. If the maximum clamping force that is achievable by the electric motor first actuator is lower than the target clamping force, then the hydraulic second actuator is activated to provide an additional clamping force.