A device for storing cryogenic fluid comprising a tank extending in a longitudinal direction and suitable for containing liquefied gas in equilibrium with a gas phase, a device for pressurizing the tank, the pressurization device comprising a pressurized gas generator and a rail for injecting the pressurized gas extending in the longitudinal direction in the upper portion of the tank, the injection rail comprising a plurality of gas outlet orifices spaced apart in the longitudinal direction, characterized in that at least one of the spacing between the orifices, the diameter of the orifices and the number of the orifices is different in the longitudinal direction between a first so end through which the gas enters the rail and an opposite second end of the rail and configured to render the flow rates leaving the orifices of the rail uniform in the longitudinal direction.