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) separation of the primary product by means of physical separation processes into a C 5- fraction, a C 5+ fraction and an aqueous phase containing non-converted oxygenates, (c) separation of the C 5- fraction by multistage distillation, wherein a propylene product stream and several olefin-containing hydrocarbon fractions are obtained, wherein the latter are at least partly recirculated to the olefin synthesis reactor, (d) separation of the non-converted oxygenates from the aqueous phase by means of a thermal separation process, recirculation of the separated, non-converted oxygenates and at least a part of the water to the olefin synthesis reactor, (e) separation of the C 5+ fraction by multistage distillation, wherein a C 7- fraction is obtained which comprises C 5 /C 6 olefins, and wherein a C 7+ fraction is obtained which comprises aromatics, (f) separation of the C 7+ fraction by a thermal separation process, preferably by extractive distillation into an aromatics fraction and a fraction comprising the C 7+ paraffins, (g) supplying at least a part of the C 7- fraction comprising the C 5 /C 6 olefins and at least a part of the aromatics fraction to an alkylation reactor in which by heterogeneously catalyzed conversion of the aromatics with the C 5 /C 6 olefins on an alkylation catalyst under alkylation conditions an alkylation product is obtained, which comprises alkyl aromatics, (h) separation of the alkylation product by a thermal separation process in a stream containing C 5 /C 6 paraffins, an alkyl aromatics stream and a stream containing non-converted aromatics, which is at least partly recirculated to the alkylation reactor, (i) supplying the alkyl aromatics stream to a hydrogenation reactor in which by heterogeneously catalyzed conversion of the alkyl aromatics on a hydrogenation catalyst under hydrogenation conditions a hydrogenation product is obtained, which comprises cycloparaffins, (j) recirculation of at least a part of the hydrogenation product to the olefin synthesis reactor. (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) separation of the primary product by means of physical separation processes into a C 5- fraction, a C 5+ fraction and an aqueous phase containing non-converted oxygenates, (c) separation of the C 5- fraction by multistage distillation, wherein a propylene product stream and several olefin-containing hydrocarbon fractions are obtained, wherein the latter are at least partly recirculated to the olefin synthesis reactor, (d) separation of the non-converted oxygenates from the aqueous phase by means of a thermal separation process, recirculation of the separated, non-converted oxygenates and at least a part of the water to the olefin synthesis reactor, (e) separation of the C 5+ fraction by multistage distillation, wherein a C 7- fraction is obtained which comprises C 5 /C 6 olefins, and wherein a C 7+ fraction is obtained which comprises aromatics, (f) separation of the C 7+ fraction by a thermal separation process, preferably by extractive distillation into an aromatics fraction and a fraction comprising the C 7+ paraffins, (g) supplying at least a part of the C 7- fraction comprising the C 5 /C 6 olefins and at least a part of the aromatics fraction to an alkylation reactor in which by heterogeneously catalyzed conversion of the aromatics with the C 5 /C 6 olefins on an alkylation catalyst under alkylation conditions an alkylation product is obtained, which comprises alkyl aromatics, (h) separation of the alkylation product by a thermal separation process in a stream containing C 5 /C 6 paraffins, an alkyl aromatics stream and a stream containing non-converted aromatics, which is at least partly recirculated to the alkylation reactor, (i) supplying the alkyl aromatics stream to a hydrogenation reactor in which by heterogeneously catalyzed conversion of the alkyl aromatics on a hydrogenation catalyst under hydrogenation conditions a hydrogenation product is obtained, which comprises cycloparaffins, (j) recirculation of at least a part of the hydrogenation product to the olefin synthesis reactor.