Abstract: A method in the production of hydrogen peroxide is described, utilizing the so-called anthraquinone process in which alkylated anthraquinones dissolved in organic solvents to form a liquid working solution, are alternately reduced and oxidized. The working solution is subjected to catalytic hydrogenation by contacting it with hydrogen in the presence of a hydrogenation catalyst. The contact with hydrogen is established in a fixed catalyst bed comprising one or more solid catalyst bodies, each of which consists of a thin-walled, coherent, solid body of a structure forming parallel channels through which the working solution and hydrogen gas are allowed to pass. The channels of the catalyst bed are of equal length and parallel to the direction of flow of the working solution. The catalyst preferably is provided in a thin layer on the walls of the structure, preferably by means of a porous carrier.