Method for filling a tank with liquefied gas

Method for filling a liquefied gas tank with pressurized liquefied gas from a source of liquefied gas using a filling apparatus comprising a transfer circuit that is provided with first and second pipes, each connecting between the source via respective first ends and the tank via respective second ends, third and fourth pipes each connecting between the first and second pipes, and a set of valves controlling flows of fluid in the pipes. The tank is depressurized and at least part of the circuit is cooled by transferring pressurized vaporization gas from the tank to the first end of the second pipes via the second end of the second pipe, the third pipe, the first pipe, and the fourth pipe.