Abstract: Process for producing hydrogenated rubbers which allows an easy and effective deactivation of the living polymer before the hydrogenation step. The deactivation of living polymer is carried out using compounds with very good solubility in water of formula R--OH, R--COOH or compound of type R'.sub.n --Si--Cl.sub.4-n, R'.sub.n --Sn--Cl.sub.4-n, with n comprised between 0 and 3, extremes included; wherein R is a C.sub.2 -C.sub.20 alkyl group optionally containing one or more polar functional groups selected from C--OH, COOH, and R' is a C.sub.1 -C.sub.20 alkyl or C.sub.6 -C.sub.20 aryl. The catalysts used in the hydrogenation of the deactivated polymer are titanocene compounds, being the most preferred those of formula Cp.sub.2 Ti (PhOCH.sub.3).sub.2 and Cp.sub.2 Ti (CH.sub.2 PPh.sub.2).sub.2.