A) A feed stream containing propane is prepared, B) the feed stream containing propane, optionally steam and optionally an oxygen-containing gas stream are fed to a dehydrogenation zone and propane undergoes a dehydrogenation to give propene, whereby a product gas stream b is obtained containing propane, propene, methane, ethane, ethene, carbon monoxide, carbon dioxide, steam, optionally hydrogen and optionally oxygen, C) the product gas stream b is cooled, optionally compressed and steam separated off by condensation, to give a product gas stream c stripped of steam, D) the product gas stream c is brought into contact with a selective inert absorption agent which selectively absorbs propene in a first absorption zone, to give an essentially propane-charged absorption agent stream d1 and a gas stream d2 containing propane, methane, ethane, ethene, carbon monoxide, carbon dioxide and hydrogen, E) the absorption agent stream d1 is optionally depressurised in a first desorption zone, to give an essentially propene-charged absorption agent stream e1 and a gas stream e2, containing propene, said gas stream e2 being recycled into the first absorption zone and F) a propene-containing gas stream f1 is released from the essentially propene-charged absorption agent stream d1 and e1 in at least one second desorption zone by depressurization, heating and/or stripping of the absorption agent stream d1 and e1 with recycling of the selective absorption agent.