Method for cooling and filling a warm refrigerant tank of a vehicle with a liquefied cryogenic refrigerant from a filling container via a filling line (16, 17), characterized by the following steps: a. by means of a coupling (18, 25) assigned to the filling line (16, 17), a flow connection is established between a liquid phase of the refrigerant, present in the filling container, and the refrigerant tank, b. liquid refrigerant is transferred via the filling line into the refrigerant tank and at least partially evaporates in the refrigerant tank, c. after a predefined period of time, the flow connection of the filling line (16, 17) to the filling container is interrupted by means of a shut-off valve, d. a flow connection is established through a gas extraction line that branches off from the filling line (16, 17), downstream of the shut-off valve and upstream of the coupling (18, 25), e. vaporized refrigerant is extracted via the filling line (16, 17) and the gas extraction line until a predefined pressure is reached, f. the flow connection through the gas extraction line is interrupted and the flow connection between filling line (16, 17) and filling container is opened, g. steps b. to f. are repeated until the refrigerant tank is filled, characterized in that the cryogenic refrigerant in the filling container is in the supercooled state, the pressure in the refrigerant tank is lower than the pressure in the filling container, and the filling of the refrigerant tank via the filling line (16, 17) takes place under the effect of the pressure difference between filling container and refrigerant tank. characterized by the following steps: a. by means of a coupling (18, 25) assigned to the filling line (16, 17), a flow connection is established between a liquid phase of the refrigerant, present in the filling container, and the refrigerant tank, b. liquid refrigerant is transferred via the filling line into the refrigerant tank and at least partially evaporates in the refrigerant tank, c. after a predefined period of time, the flow connection of the filling line (16, 17) to the filling container is interrupted by means of a shut-off valve, d. a flow connection is established through a gas extraction line that branches off from the filling line (16, 17), downstream of the shut-off valve and upstream of the coupling (18, 25), e. vaporized refrigerant is extracted via the filling line (16, 17) and the gas extraction line until a predefined pressure is reached, f. the flow connection through the gas extraction line is interrupted and the flow connection between filling line (16, 17) and filling container is opened, g. steps b. to f. are repeated until the refrigerant tank is filled, a. by means of a coupling (18, 25) assigned to the filling line (16, 17), a flow connection is established between a liquid phase of the refrigerant, present in the filling container, and the refrigerant tank, b. liquid refrigerant is transferred via the filling line into the refrigerant tank and at least partially evaporates in the refrigerant tank, c. after a predefined period of time, the flow connection of the filling line (16, 17) to the filling container is interrupted by means of a shut-off valve, d. a flow connection is established through a gas extraction line that branches off from the filling line (16, 17), downstream of the shut-off valve and upstream of the coupling (18, 25), e. vaporized refrigerant is extracted via the filling line (16, 17) and the gas extraction line until a predefined pressure is reached, f. the flow connection through the gas extraction line is interrupted and the flow connection between filling line (16, 17) and filling container is opened, g. steps b. to f. are repeated until the refrigerant tank is filled, characterized in that the cryogenic refrigerant in the filling container is in the supercooled state, the pressure in the refrigerant tank is lower than the pressure in the filling container, and the filling of the refrigerant tank via the filling line (16, 17) takes place under the effect of the pressure difference between filling container and refrigerant tank.