Multi-piece, solid golf balls containing an inner core, an intermediate layer surrounding the core, and an outer cover are provided. At least one layer is made from an epoxy composition comprising a curing agent such as zinc diacrylate or zinc dimethacrylate. The epoxy composition is produced by reacting an epoxy prepolymer with a curing agent. Preferably, the epoxy composition is used to form an intermediate and/or cover layer resulting in a golf ball having high resiliency, good impact durability, and soft feel.