A high CoR golf ball having predetermined moment of inertia is provided. A portion of the golf ball preferably contains substantially no filler, which contributes to the increased resilience of the ball. In accordance to one aspect of the invention, the portion with substantially no filler is an outer core of the ball. The innermost core should have a high specific gravity. Additionally, the outermost layers of the ball may have a low specific gravity. Preferably, the portion with substantially no filler is relatively larger than other portions of the ball.