Washington was able to tie the score, 97-97, when Jordan Crawford hit a jumper with 1:36 left. But an 0-for-6 performance from the free-throw line, misses from short range and a tight Mavericks defense prevented the Wizards from pulling off the upset.
Chandler, who made his living around the rim Saturday, answered Crawford with a go-ahead tip-in seconds later on his way to a season-high scoring performance. The Mavs would then ice the game at the free-throw line.
Dirk Nowitzki had 21 points for Dallas, but Mavs coach Rick Carlisle told reporters after the game that his team was "lucky to get out of here alive," even if he had three players score 20-plus points.
"I'm not keeping track of the double-digit scoring streaks," he said. "It was a tough game on paper and a tough game on the floor. They [Washington] play their best basketball against the better teams."
Carlisle also noted the presence of the rookie John Wall, who led the Wizards with 24 points and drove the paint for key layups for Washington in the fourth quarter.
"Wall puts tremendous presure on your entire defense," Carlisle said.
The Mavericks play the second of three straight road games Sunday at Toronto.