A method in the production of hydrogen peroxide by the anthraquinone process is described, in which method anthraquinone derivatives dissolved in a working solution are subjected alternatingly to hydrogenation and oxidation. To reduce the relative moisture in the working solution to a suitable level of 20-98%, preferably 40-85%, the working solution is dried prior to hydrogenation by contacting it with a gas or a gaseous mixture, the water vapor pressure of which is below that of the working solution. Suitable gases or gas mixtures are air or exhaust gases from the oxidation stage of the anthraquinone process.