The present invention relates to a process for decomposing organic hydroperoxides in the presence of a catalyst. It provides a process for decomposing organic hydroperoxides in the presence of a catalyst into a mixture of alcohols and ketones, in which the catalyst comprises at least one ruthenium-based catalytically active metallic element incorporated into a solid support chosen from the group comprising metal oxides and carbon blacks, such as the carbon blacks obtained by the pyrolysis of organic compounds. The process of the invention is especially useful in the decomposition of important chemical intermediates such as cyclohexyl hydroperoxide.