A solution polymerization process for the preparation of high molecular weight polymers selected from the group consisting of homopolymers of ethylene and copolymers of ethylene and butene-1 is disclosed. The process comprises feeding monomer(s), coordination catalyst and inert hydrocarbon solvent to a reactor, polymerizing the monomers at a temperature of up to 320.degree. C. and a pressure of less than 25 MPa, and deactivating the catalyst in the solution so obtained. The catalyst is deactivated by sequentially admixing therewith a minor amount of dimethyl carbonate followed by a solution of a salt of an alkaline earth metal or zinc and an aliphatic monocarboxylic acid dissolved in hydrocarbon solvent. The hydrocarbon solvent and other volatile matter are then separated from the resultant solution and a composition comprising the high molecular weight polymer is recovered. The amount of dimethyl carbonate is not more than 2.5 moles, per mole of halogen plus alkyl radicals in the coordination catalyst.