Vince Carter capped a 22-point performance with a 3-pointer that gave Dallas the lead with 6.5 seconds left in the Mavs' third straight victory.
Dallas Mavericks center Chris Kaman did not play against the Portland Trail Blazers on Tuesday night because of a concussion.
The San Antonio Spurs to a 113-107 victory over the Dallas Mavericks.
Forbes ranked the Mavs as the fifth most valuable franchise in the NBA.
With Dallas' win, the road team has won each of the last nine meetings in this series.
The former MVP played in one preseason game for the Mavs but had missed the team's first 27 regular season games.
The Mavs' Chris Douglas-Roberts will fill the roster spot vacated by veteran point guard Derek Fisher.
Dallas held on for a 114-111 victory over the New York.