Abstract: The invention relates to a method for filling a gas tank at a pressure P2 from at least one gas source at a pressure Pi, P1 being higher than V2, said container and said at least one gas source being connected by a duct allowing the passage of gas from one to the other, the filing being carried out at a flow rate which is, at the end of the filling, lower than the initial flow rate, wherein said method comprises several successive filling steps 1 to i, each of the steps being carried out with a filling flow rate D1 to Di for a time t1 to ti, i being an integer higher than or equal to 2, the flow rate of a step i-1 being higher than the flow rate of the step i,; characterized in that the successive filling steps 1 to i are adapted for producing a controlled heating of the container that maximizes the heat dispersal in said container without increasing the temperature inside the container beyond the maximum accepted temperature for the container, and in that the sum of ti is between 1 and 7 minutes, preferably