The invention relates to a method for operating a fuel cell arrangement which has a fuel cell for providing electrical energy in an electric circuit that has a circuit which is electrically connected to the fuel cell via a DC-DC converter, and a battery. It is provided that in at least one mode of operation of the fuel cell arrangement, following a start-up of the fuel cell, the battery is electrically disconnected from the circuit, and the DC-DC converter is operated in non-switched mode in order to supply at least one electrical consumer in the circuit with electric current provided by the fuel cell. The invention further relates to a fuel cell arrangement.