A ball game apparatus includes a ball target, one or more balls, and a rear unit. The ball target includes an upper target, a bottom net, and a target stand. The upper target is mounted at an upper portion of the target stand. The bottom net is mounted between the target stand and the upper target at a position that the bottom net is below the upper target. The upper target has a plurality of ball scoring holes and an electronic scoring board, wherein an electronic scoring circuit is provided within the upper target. Each ball is made by elastic and flexible material and is filled with iron sands. The rear net unit, which is positioned behind the ball target, includes a net and a rear net stand, wherein the net is supported by the rear net stand to extend to an opened configuration of the rear net unit.