The invention is directed to a process for concentrating aqueous hydrogen peroxide solution to give at least two hydrogen peroxide streams of different concentration in an apparatus which includes a preevaporator (1), a distillation column (2) and a vapour compressor (3). The aqueous hydrogen peroxide solution to be concentrated (4) is continuously fed into the preevaporator; vapour (5) produced by evaporation in the preevaporator is fed to the distillation column; bottom product (6) obtained in the preevaporator is withdrawn as a first concentrated hydrogen peroxide stream (7); vapour (8) produced in the distillation column is withdrawn from the distillation column at the top of the column, compressed by the vapour compressor and used for heating the preevaporator; and the bottom product (9) obtained in the distillation column is withdrawn as a second concentrated hydrogen peroxide stream (10); Concentrated hydrogen peroxide solutions having differing concentrations in the range from 50 to 70% by weight of hydrogen peroxide can be produced at the same time in a freely selectable ratio by feeding part of the bottom product obtained in the preevaporator in liquid form to the distillation column.