The present invention is directed to golf balls having at least one layer which comprises a polymer produced by a process wherein one or more monomers are contacted with a composition comprising the admixture or reaction product resulting from combining (A) a first olefin polymerization catalyst, (B) a second olefin polymerization catalyst capable of preparing polymers differing in chemical or physical properties from the polymer prepared by the first olefin polymerization catalyst under equivalent polymerization conditions, and (C) a chain shuttling agent. Golf balls of the present invention include one-piece, two-piece, and multi-layer golf balls. In two-piece and multi-layer golf balls of the present invention, the polymer may be present in a core layer, a cover layer, an intermediate layer (in the case of multi-layer balls), or a combination thereof.