This storage facility (I) comprises at least one light fuel tank (C1, C2, C3) and at least one heavy fuel tank (C4), each one of the tanks being equipped with a vent pipe (12, 22, 32, 42). All of the vent pipes open into the same collector (14) intended to communicate these pipes with one another and to be connected to a tank (10) of a delivery vehicle. Furthermore, whether respectively associated with a light fuel tank or a heavy fuel tank, the vent pipes are provided with means (13, 23, 33, 43) for condensing the vent gases flowing through these pipes, the condensates from these condensation means being discharged into the or at least one of the light fuel tanks. It is thus possible to minimize the discharge of light fuel vapors from the facility, whether into the atmosphere or into the tank of the delivery vehicle.