Virgo was one of the most recognisable figures in snooker across five decades, first as a top-level competitor and later as a broadcaster whose voice became closely associated with the sport's biggest occasions.
He died at his home in Spain following a short illness, according to the governing body.
Born in Salford on March 4th, 1946, Virgo turned professional in 1976 and quickly established himself among the game's leading players.
His most significant success came in 1979 when he won the UK Championship, defeating Terry Griffiths 14-13 in a deciding frame final. In the same year, he reached the semi-finals of the World Championship at the Crucible Theatre in Sheffield.
Virgo remained a regular presence on the professional circuit through the 1980s, spending time inside the world's top 16 and winning several invitational and professional titles. He retired from competitive play in 1994.
Following his retirement, Virgo moved into broadcasting and became a fixture of BBC snooker coverage for more than three decades. He regularly worked on the World Championship, Masters and UK Championship, and was known for his animated commentary style.
His catchphrase, "Where's the cue ball going?", became widely associated with televised snooker.
He was also a familiar face to a broader television audience as a co-presenter of the BBC entertainment programme Big Break during the 1990s, alongside Jim Davidson. The show helped bring snooker into mainstream Saturday evening viewing.
Tributes have been paid by players, broadcasters and administrators across the sport. World Snooker Tour described Virgo as "one of snooker's great characters" and praised his contribution both as a player and as a commentator.
Virgo is survived by his wife Rosie and his two children. Further tributes are expected during upcoming professional events.