A process for producing olefins, in particular propylene, from oxygenates, comprising the following steps: (a) heterogeneously catalyzed conversion of an educt mixture comprising steam and oxygenates, such as methanol and/or dimethyl ether, under oxygenate conversion conditions in an olefin synthesis reactor to a primary product containing propylene, other olefins, paraffins and aromatics, (b) fractionation of the primary product by means of physical separation methods into a C 5- fraction, a C 5+ fraction and an aqueous phase containing non-converted oxygenates, (c) fractionation of the C 5+ fraction by multistage distillation, comprising a debutanizer, wherein at least one recycle stream containing olefins is obtained, which is recirculated to the olefin synthesis reactor, and wherein a gasoline stream containing hydrocarbons is obtained, which is discharged from the process as byproduct, (d) compression of the C 5- fraction in a first compressor and fractionation of the compressed C 5- fraction in a first phase separation stage into a first gaseous compressor product and a first liquid compressor product, (e) supplying the first liquid compressor product to the debutanizer, wherein as top product of the debutanizer a C 4- fraction is obtained, which is supplied to a depropanizer, (f) supplying the first gaseous compressor product to a depropanizer, wherein as top product of the depropanizer a C 3- fraction and as bottom product a C 4 fraction are obtained, wherein the C 4 fraction is at least partly recirculated to the olefin synthesis reactor, (g) supplying the C 3- fraction to a deethanizer, wherein as top product of the deethanizer a C 2- fraction and as bottom product a C 3 fraction are obtained, (h) fractionation of the C 3 fraction by means of physical separation methods into a fraction comprising propylene, which is discharged from the process as target product, and into a fraction comprising propane, characterized in that (i) the fraction comprising propane is supplied to a propane dehydrogenation stage, in which under propane dehydrogenation conditions propane is at least partly dehydrogenated to propylene, wherein the propylene produced in the propane dehydrogenation stage is supplied to the target product. (a) heterogeneously catalyzed conversion of an educt mixture comprising steam and oxygenates, such as methanol and/or dimethyl ether, under oxygenate conversion conditions in an olefin synthesis reactor to a primary product containing propylene, other olefins, paraffins and aromatics, (b) fractionation of the primary product by means of physical separation methods into a C 5- fraction, a C 5+ fraction and an aqueous phase containing non-converted oxygenates, (c) fractionation of the C 5+ fraction by multistage distillation, comprising a debutanizer, wherein at least one recycle stream containing olefins is obtained, which is recirculated to the olefin synthesis reactor, and wherein a gasoline stream containing hydrocarbons is obtained, which is discharged from the process as byproduct, (d) compression of the C 5- fraction in a first compressor and fractionation of the compressed C 5- fraction in a first phase separation stage into a first gaseous compressor product and a first liquid compressor product, (e) supplying the first liquid compressor product to the debutanizer, wherein as top product of the debutanizer a C 4- fraction is obtained, which is supplied to a depropanizer, (f) supplying the first gaseous compressor product to a depropanizer, wherein as top product of the depropanizer a C 3- fraction and as bottom product a C 4 fraction are obtained, wherein the C 4 fraction is at least partly recirculated to the olefin synthesis reactor, (g) supplying the C 3- fraction to a deethanizer, wherein as top product of the deethanizer a C 2- fraction and as bottom product a C 3 fraction are obtained, (h) fractionation of the C 3 fraction by means of physical separation methods into a fraction comprising propylene, which is discharged from the process as target product, and into a fraction comprising propane, (i) the fraction comprising propane is supplied to a propane dehydrogenation stage, in which under propane dehydrogenation conditions propane is at least partly dehydrogenated to propylene, wherein the propylene produced in the propane dehydrogenation stage is supplied to the target product.