Hoverball was a 24th century sport which used a small ball equipped with an antigravity device and small propulsion system. It was almost always played on outdoor courts. (DS9: "Let He Who Is Without Sin..."; VOY: "Maneuvers", "Remember", "Unity", "Waking Moments")

The Risian Joval played with such a ball in 2366, and the ball flew around Jean-Luc Picard who was relaxing with a book. She excused herself and got into a conversation with Picard. (TNG: "Captain's Holiday")

Chakotay and B'Elanna Torres frequently played hoverball together on Voyager's holodeck. One such match was interrupted by a call to the bridge in 2372, when Torres was leading nineteen-seven.

At some point prior to 2373, Torres insisted on finishing a hoverball championship with a broken ankle. (VOY: "Remember")

Arandis tried to arranged a game of hoverball on one of the indoor courts on Risa in 2373, following sabotage to the weather modification network by the New Essentialists. (DS9: "Let He Who Is Without Sin...")

Later that year, Torres observed that Chakotay seemed distracted, and commented that he needed "a good thrashing on the hoverball court," and offered to book time on the holodeck. Chakotay accepted the offer. (VOY: "Unity")

When suffering from insomnia in 2374, Tom Paris and Harry Kim played three late-night games of hoverball in a row in an attempt to wear themselves out. It did not work. (VOY: "Waking Moments")

The Doctor included hoverball amongst his interests by 2376, evidently as a participant as there was a subroutine in his program on the sport. (VOY: "Life Line")