The Jazz were in the NBA Finals for the first time thanks to the efforts of All-Star duo John Stockton and league MVP Karl Malone.
In Game 6, Michael Jordan was battling the flu but still led the Bulls with 39 points.
For the fifth time in as many Finals appearances, he was named NBA Finals MVP.
The Bulls trailed by nine early in the fourth quarter, but went on a 10-0 run to take their first lead since the opening minutes when Steve Kerr hit a 3-pointer.
In the dying moments, Jordan drew a double-team, passed to Kerr, who hit a 17-footer with five seconds left.
Other memorable events in history today:
1956: The first-ever European Cup is won by Real Madrid 4-3 over Stade de Reims.
1982: Riccardo Paletti suffers a fatal accident at the Canadian Grand Prix.
2004: Annika Sorenstam wins the 50th edition of the LPGA Championship for her seventh major title.
2014: Los Angeles Kings defeat the New York Rangers four games to one to win the Stanley Cup, their secondchampionship in franchise history.