A continuous method for producing a diene elastomer is provided. The method comprises a polymerization reaction of a catalytic system with at least one conjugated diene monomer to be polymerized in solution in a solvent. The catalytic system is based on at least a rare earth organic salt and an alkylating agent, in at least two full polymerization reactors in series. A portion of the conjugated diene monomer to be polymerized is introduced into a polymerization reactor subsequent to the first polymerization reactor.