The present invention is directed to an improved multi-layer golf ball displaying enhanced playing characteristics, including high speed, high launch, and low spin. In general the golf ball displays improved performance in areas such as distance and feel for lower swing speed players. The ball has a relatively large solid inner core, with at least one solid outer core layer surrounding the inner core, and a thin cover layer surrounding the outermost core layer. The inner core is softer than the outer core, which in turn is softer than the cover. The ball may be designed such that the coefficient of restitution (COR) gradient is from slow to fast; that is, the inner core has a lower COR than the total core, which has a lower COR than the entire golf ball.