Abstract: The proposed methods are exemplarily utilized in uranium hydrometallurgy for selective extraction of uranium out of ore by in situ or heap leaching. According to the disclosure, the methods encompass catalytic oxidation of U4+ to U6+ using a proposed oxidizing catalyst “Muhamedzhan-1”, filtration of this solution through ore, transferring hexavalent uranium, trivalent iron, and other metal ions into a production solution, extraction of uranium yielding a barren solution and re-circulation of this solution back for ore leaching. The methods essentially improve known technologies by employing “Muhamedzhan-1”, being a solution of d- and f-mixed valence metal salts (MLn, wherein M=Fe, U, Cu, Mn, and L=NO3?, SO42?Cl?, Br?, I?) and alkali metal halogenides (MX, wherein M=Na+, Na+, K+, and X=Cl?, Br?, I?) used as an oxidizing agent, with the weight ratio of MLn: 0.01-25.0%, MX: 0.01-12.5%, and solvent: balance.