Abstract: A vinyl polymer having a controlled molecular weight and narrow molecular weight distribution is prepared by polymerizing a vinyl monomer using an organic halide polymerization initiator in the presence of a cuprous compound catalyst in a solvent containing an organic compound having a dielectric constant of at least 10 at 25° C., or by polymerizing a vinyl monomer using an organic halide polymerization initiator in the presence of a cuprous compound catalyst and also a specific 1,10-phenanthroline compound.