Disclosed is a functionalizing method for the end functionalisation of trans-1, 4 stereo-regular polydiene chains obtained by the coordination catalytic polymerisation of at least one conjugated diene monomer. It also relates to a polydiene having a trans-1,4 chain formation rate of at least 85%, preferably at least 90%, and an end functionalisation rate higher than 70%, preferably higher than 80%, and more preferably higher than 90%.