[Problem]Provided is a method for producing an industrially advantageous hydrogenated polymer, whereby a high hydrogenation rate can be achieved by a small use amount therein at a level of not requiring a decalcification process of the catalyst.[Solution]A method for producing a hydrogenated polymer including hydrogenating, with a hydrogen molecule, a carbon-carbon double bond based on a conjugated diene structural unit of a polymer in which at least a part of a living polymer obtained by polymerizing a monomer containing one or more conjugated dienes using an organic alkali metal compound as a polymerization initiator is terminated by a hydrogen molecule, in the presence of a silane compound having at least one silyl hydride bond and an organic metal compound represented by the following general formula (I): wherein R1 to R10 are those as defined in the specification.