The present invention is directed to golf ball cover compositions containing metal cation neutralized carboxylic acid based copolymers and/or alkali metal cation neutralized ethylene copolymers such as ethylene alkyl acrylates. Golf balls produced with the cover molded thereon exhibit desired properties of distance and high coefficient of restitution without substantially sacrificing and/or improving characteristics like playability and durability when compared to existing ionomeric resin covers.