Method for producing a dealcoholized beverage (60) from its alcoholic beverage starting product (10) and plant for implementing the method, which comprises the following steps: separating the beverage starting product (10) into an alcoholic and aromatic permeate (24) and into an aromatic and almost alcohol-free retentate (22) in a permeation module (2) by non-thermal permeation (A), dealcoholizing (C) the permeate (24) in a module (4) intended for that task, and finally mixing (D) the dealcoholized permeate with the almost alcohol-free retentate (22) in a final-mixing module (5). Prior to the dealcoholizing (C), aroma compounds are removed from the aromatic and alcoholic permeate (24) by cold adsorption (B) in an aroma adsorber (3), resulting both in an aroma phase (36) and in an aroma-free but alcoholic permeate (24) which, however, has the alcohol removed from it by alcohol separation (C), resulting in an aqueous, largely dearomatized and dealcoholized permeate water phase (24"). Final mixing of aroma phase (36), permeate water phase (24") and retentate (22) takes place in the final-mixing module to give a dealcoholized beverage (60).