Provided is a rubber material that is well-balanced in terms of tensile strength, low hysteresis loss property, wet grip property, and abrasion resistance. A hydrogenated conjugated diene-based polymer which is a hydrogenation product of a conjugated diene-based polymer including butadiene-derived structural units is produced by a method comprising a step of preparing a conjugated diene-based polymer having, at a side chain moiety thereof, a functional group capable of interacting with silica; and a step of hydrogenating the conjugated diene-based polymer so as to achieve a hydrogenation rate of 80 to 99% of butadiene-derived structural units included in the conjugated diene-based polymer.