Sean Singletary added 12 points, extending his streak of games scoring in the double figures to 32, the longest active streak in the Atlantic Coast Conference.
The Cavaliers (8-2) have won their last 20 home games against in-state opponents and improved to 4-0 all-time against Hampton (5-5). They returned to action after a 12-day break for exams.
Vincent Simpson led Hampton with 22 points, 18 of those off 3-pointers. Six of Simpson's seven field goals were from beyond the arc. He was the only Pirates player to hit a 3.
Virginia outrebounded Hampton 42-32, but the Cavaliers turned the ball over 21 times, leading to 27 points for the Pirates. Virginia scored 14 off 12 Hampton turnovers.
Virginia's 79 points was the most scored against Hampton this season. The Pirates entered the game ranked 13th nationally in scoring defense, allowing 55.9 points per game.