Abstract: Process for the recovery of an ethylene and propylene containing stream from a cracked gas resulting from cracking a hydrocarbon stream, wherein the cracked gas is treated in an absorptive demethanizer with a C4/C5 solvent at a temperature between ?10° C. and ?40° C. to free the cracked gas from methane and hydrogen gas, whereafter the remaining stream is treated by distillation in a distillation unit to obtain a C4/C5 containing stream and the ethylene and propylene containing stream; whereafter the C4/C5 stream is treated with a hydrogen containing stream in a hydrogenation unit, whereafter a part of the hydrogenated C4/C5 stream is cooled to a temperature between ?10° C. and ?40° C. and recycled to the absorptive demethanizer and a part of the hydrogenated C4/C5 stream is separated.