A device for the operation of a hybrid vehicle. The hybrid vehicle has a first and a second drive assembly. The drive assemblies in each case drive the hybrid vehicle, alone or jointly in a hybrid type of operation. The first drive assembly is operated with fuel from a fuel tank and a sensor device monitors an amount of fuel in the fuel tank. The device activates a safety operation of the hybrid vehicle if the amount of fuel is smaller than a specifiable value. The device reduces the output of the second drive assembly during the safety operation when a type of operation is being used in which the torque of the second drive assembly is directed oppositely to the torque of the first drive assembly.