But Jalen Rose, known for his clutch play, sat the entire fourth quarter after Los Angeles outscored Toronto 30-12 in the third, and he wasn't happy about it.
"I wasn't injured. I don't know why I played 23 minutes," he said.
Rose added he would be professional and just deal with it.
Coach Sam Mitchell preferred to go with a small lineup that included Milt Palacio in the fourth.
In just the last week, Alston said he was owed an apology after he got into a heated argument with Mitchell. Forward Eric Williams asked for a trade a day later and a report surfaced on Friday
claiming Mitchell got into an altercation with ex-Raptor Vince Carter.
"This win was very important just to make everybody feel better," Bosh said. "Sometimes things just come one after another."
Bosh also had 10 rebounds and Alston had eight assists. Alston, who never got his apology, said the win was important.
"To take a positive step for a change helps this club in a big way," Alston said.
Elton Brand had 26 points and 11 rebounds for the Clippers, who have lost five straight to fall to 1-5 on their nine-game road trip.
Los Angeles rookie Shaun Livingston, the fourth overall pick in the draft, had 10 points and nine assists in his first game after missing 39 games with a dislocated right kneecap.
"I'm very proud of the way Shaun came out and played," Los Angeles forward Corey Maggette said. "He's very poised and did exactly what we needed him to do. This is a guy who has a lot of potential to be a great point guard."
Toronto led by as many as 20 in the second quarter and 14 at halftime, but the Raptors went 0-for-15 to start the second half and Los Angeles went on a 23-6 run to take a nine-point lead.
Brand scored 10 straight points during the run. Bosh ended the drought with a layup with 3:02 left in the third.
"You can't get behind by 20 points in this league," Brand said.
Alston's 3-pointer tied it at 85 at 8:40 of the fourth, and his 3-pointer with 4:37 left gave Toronto a three point lead.
Alston capped an 8-0 run with a layup to give Toronto a 104-96 lead with 1:14 remaining, and he assisted on Bosh's layup, giving the Raptors an eight-point lead with 40 seconds left.
Alston added two free throws with 34 seconds remaining.
Mitchell acknowledged recent criticism of him has stung. "It has bothered me at times. No one wants to be vilified and
talked about in a negative way," the first-year coach said. "When people start piling on, it's easier to pile on to the bunch than peel off. You just accept it and hold no grudges." ... The Clippers placed guard Kerry Kittles on the injured list. Kittles returned to Los Angeles on Saturday to seek treatment for a degenerative disk in his lower back. ... Los Angeles radio announcer Ralph Lawler worked his 2000th Clippers game.