JR Smith scored 20 points and Kyle Korver added 19 for Cleveland, which never led in regulation. Jeff Green had 16 points, and Tristan Thompson contributed 14 points and 12 rebounds for the fourth-seeded Cavaliers.
DeMar DeRozan scored 22 points, and Jonas Valanciunas recorded 21 points and 21 rebounds for the Raptors. Kyle Lowry registered 18 points and 10 assists, and Pascal Siakam had 11 points for the top-seeded Raptors.
Toronto's Fred VanVleet missed a potential winning 3-pointer with 3.4 seconds left in overtime.
"Considering the circumstances, we definitely stole one," Cleveland coach Tyronn Lue said. "I don't think we played our best game. I think they know that as well. We didn't play extremely well, but to come in and beat a good team like Toronto on their home floor ... it does feel like we stole one."
Game 2 is Thursday in Toronto.
Korver's 3-pointer 37 seconds into overtime gave Cleveland its first lead of the contest. Smith drained a 3-pointer and Thompson scored in the interior to give the Cavaliers a 113-107 edge with 2:17 remaining.
The Raptors pulled within one on Lowry's 3-pointer with 57.9 second left.
James posted his 21st career postseason triple-double. Korver and Smith each made five 3-pointers as the Cavaliers went 14 of 35 from behind the arc and shot 41.2 percent overall.
The Raptors shot 42.9 percent from the field and 9 of 28 from 3-point range.
"A lot of things, we did to ourselves," Toronto coach Dwane Casey said. "I think we're a better team. We just didn't make the shots down the stretch. I know it sounds simplistic, but we had our open looks, had our opportunities that we didn't cash in on and some other things we could clean up defensively."
James hit a turnaround shot with 30.3 seconds remaining in regulation to tie the score at 105. Toronto missed four shots on its last possession, and James' shot bounced off the rim as time expired.
"I definitely wasn't as efficient as I would like to be," James said. "I missed a lot of open looks, a lot of open threes that they were going under. A lot of floaters in the lane. ... My teammates were unbelievable tonight. They stepped up when I wasn't at my best."
Toronto led by three at halftime before controlling the first seven minutes of the third quarter with Valanciunas' inside hoop making it 80-67 with 5:08 remaining.
The Cavaliers responded with a 13-3 surge to trim their deficit to three with 1:38 left. Siakam scored back-to-back hoops to push the Raptors back ahead by seven before Toronto settled for a five-point edge entering the final stanza.
Delon Wright drained a 3-pointer early in the fourth quarter to give the Raptors a 92-82 lead. However, Cleveland answered with a 12-4 burst, and Smith's corner 3-pointer pulled the Cavs within 96-94 with 8:05 left.
A 3-pointer by James drew the Cavaliers within 100-99 with 4:48 to play. Serge Ibaka made three free throws with 1:42 left to give Toronto a four-point lead before James made two consecutive baskets to knot the score.
DeRozan scored 15 first-half points as Toronto led 60-57 at the break.
--Field Level Media
Cleveland | Toronto | |
LeBron James 26 | Scoring | DeMar DeRozan 22 |
LeBron James 13 | Assists | Kyle Lowry 10 |
Kevin Love 13 | Rebounds | Jonas Valanciunas 21 |
Jeff Green 7 | Free Throws Made | Jonas Valanciunas 7 |
Jeff Green 2 | Steals | DeMar DeRozan 1 |
LeBron James 2 | Blocks | DeMar DeRozan 3 |
Team | Points | FG% | 3PM-3PA | FTM-FTA | Assists | Rebounds | Blocks | Steals | Turnovers |
Cleveland | 113 | 41.2 | 14-35 | 15-21 | 25 | 45 | 5 | 5 | 6 |
Toronto | 112 | 42.9 | 9-28 | 25-31 | 26 | 50 | 6 | 2 | 14 |