The Bucks outscored their visitors 24-9 in the fourth quarter with Khris Middleton grabbing the game-winning basket for the team placed sixth in the Eastern Conference.
There was another tight game in California with DeMarcus Cousins putting up 33 points for the Sacramento Kings who beat the Philadelphia 76ers 107-106.
Monta Ellis put up 38 points for the Dallas Mavericks as they closed the gap on the San Antonio Spurs in the race for sixth place in the Western Conference with a 101-94 win over their rivals.
The Golden State Warriors made it seven wins in a row with Stephen Curry pouring in 33 points in a 122-108 win over the Portland Trail Blazers.
The Oklahoma City Thunder hold the final play-off spot in the Western Conference and won their fourth consecutive game courtesy of a 127-117 triumph over the Los Angeles Lakers.
In Tuesday’s other game, the Detroit Pistons beat the Toronto Raptors 108-104 as Reggie Jackson scored 28 points.