A method is described for refrigerant supply of a low-temperature separation stage in a plant for producing olefins from hydrocarbon-containing feed (olefin plant). During the separation sequence beginning with a front end deethanizer (3) downstream of raw gas compressor (1), precooler and dryer (2), first separation is performed into an olefin fraction having at most two carbon atoms and an olefin fraction having at least three carbon atoms. The fraction having at least three carbon atoms is conducted to the further separation sequence for longer-chain olefins (4). The fraction having at most two carbon atoms is conducted via a catalytic hydrogenation stage (5) connected in between to the low-temperature separation stage (6) which comprises three condensation stages in the temperature range from -50.degree. C. to -100.degree. C. From the low-temperature separation stage, gaseous hydrogen (9) and methane (10) are drawn off, while the olefins having at most two carbon atoms are conducted to a further fractionation stage (7). The refrigeration power for the low-temperature separation stage is provided by the vaporization via heat exchangers of a portion of the liquid ethylene fraction (8) resulting in the front end deethanizer. The vaporized ethylene fraction is recirculated to the raw gas compressor (11).