A pair of 3-pointers by Ross gave the Raptors a 110-103 edge with 2:22 left in the first overtime, but New York responded with an 10-0 run, taking the lead on Udrih's 3 with 37 seconds left, then adding two more on a pair of free throws by Hardaway Jr.
After missing a 3 with 6 seconds left, Ross sent it to double overtime with a buzzer-beating 3 from the wing.
Toronto's Dwight Buycks scored the first two baskets of the second overtime and Ross added a third, giving the Raptors a six-point cushion.
Ross sealed it with four made free throws in the final six seconds.
World Peace picked up a technical foul with 5:22 left in the fourth following an altercation with Hansborough.
The Knicks were without G Raymond Felton (left hamstring) and G Iman Shumpert (right elbow). New York G Pablo Prigioni sat out with flulike symptoms. ... Knicks coach Mike Woodson said F Amare Stoudemire (left knee) and G J.R. Smith (left knee) both did individual workouts Monday and could take part in scrimmages Tuesday. ... Woodson said F Kenyon Martin (left ankle) might be able to practice Tuesday. Martin has not played this preseason. ... Toronto was without F Steve Novak (right thumb). ... Actor Isiah Whitlock Jr. attended the game.
Although there was no blockbuster deal to be made with his many picks, Danny Ainge said he was really excited about the players he added.
Although each comes with concerns, Chinanu Onuaku and Zhou Qi provide the Rockets with depth at the center spot.
In the wake of losing in the NBA Finals, the Warriors drafted two young players as a buffer for the bench in an uncertain offseason.