The invention relates to removing hydrocarbons from a vapour-gas medium which is formed during the oil or gasoline storage or while filling reservoirs therewith and is released to the atmosphere. Said invention can be used in a pumping-ejection unit. The inventive method consists in pumping off and compressing the vapour-gas medium in a liquid-gas jet device (2) by using the energy of oil or gasoline supplied by a pump (1), in separating the thus obtained mixture in a separator (3), in compressing a gas received from the separator (3) in a jet device (5) by the oil or gasoline supplied by a pump (4), in separating the thus obtained mixture is separator (17), in compressing the gas received from the separator (17) in a jet device (16) with the aid of an absorbent supplied by the pump (6), the thus formed mixture is separated in a separator (18) at a pressure maintained within a range of 0.7-2.5 MPa, in discharging a hydrocarbon-free gas medium and in transferring a saturated absorbent to a desorber (7), in which a pressure less than the pressure in the separator (18) is formed, in supplying the regenerated absorbent to the input of the pump (6), in discharging a liquid medium from the separators (3, 17) to a fillable reservoir or to a storage tank (11) from which the oil or gasoline is simultaneously supplied to the input of the pumps (1, 4) or to the separators (3, 17). Said unit can also comprise an additional jet device (31) and a preliminary desorber (35) which is connectable to the separator (18) by the liquid input and to the separator (18) by the gaseous hydrocarbon output thereof. The invention makes it possible to reduce the oil or gasoline losses and the energy consumption and to increase the degree of hydrocarbon removal from the vapour-gas medium which is released to the atmosphere and is formed during the oil or gasoline storage or while filling reservoirs therewith.