The present invention relates to a process for the preparation random copolymers of butadiene and isoprene, essentially consisting of reacting a catalytic system in the presence of butadiene and isoprene and using, as catalytic system, a system based on at least:--a conjugated diene monomer,--an organic phosphoric acid salt of one or more rare earth metals,--an alkylating agent consisting of an alkylaluminium of the formula AlR.sub.3 or HAlR.sub.2, and--a halogen donor consisting of an alkylaluminium halide, said salt being in suspension in at least one inert, saturated and aliphatic or alicyclic hydrocarbon solvent, which is included in said catalytic system, and the "alkylating agent:rare earth salt" molar ratio falls within a range of from 1 to 8, and performing the copolymerization reaction in an inert hydrocarbon polymerisation solvent or without solvent. These copolymers are in particular such that the butadiene and isoprene units which they comprise each have an elevated content of cis-1,4 linkages.