The invention relates to a system for supplying a gaseous fuel that comprises a low temperature tank for receiving the fuel in its liquid aggregate state achieved by cooling and comprises a rail that is fluidically connected to at least one injector device for discharging gaseous fuel into a combustion space. The system is characterized in that it has a pressure store that is configured to receive gaseous fuel and that is fluidically connectable to both the low temperature tank and the rail to buffer fuel coming from the low temperature tank and to supply it to the rail.
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