Golf balls containing a core comprising a blend of: a) about 1 to about 49 weight percent of a polybutadiene rubber having a relatively high Mooney viscosity, and b) about 51 to about 99 weight percent of a polyalkenamer rubber having a relatively low Mooney viscosity are provided. Single or multi-layered cores may be prepared. In addition, the golf ball includes a cover that may be single or multi-layered. The cover is preferably made of polyurethanes, polyureas, or blends thereof. The polyalkenamer/polybutadiene rubber composition helps provide the ball with high resiliency along with a soft feel.