When asked about it after the game, Durant had more harsh words for Bosh.
"I was talking to my teammate and he decided he wanted to put his 2 cents into it. I'm a quiet guy, a laid-back guy, but I'm not going to let nobody talk trash to me. He's on a good team now, so he thinks he can talk a little bit," Durant said.
"There's a lot of fake tough guys in this league and he's one of them," Durant added.
Durant says he was upset because Bosh got involved in his conversation with a teammate. Bosh says Durant was telling James Harden that next time, he should dunk on Bosh. Bosh had fouled Harden on the previous play to prevent a fast-break layup.
"I think he was telling Harden to dunk on me, or dunk the next one," Bosh said before giving a cleaned-up version of the exchange. "I expressed that, 'No, he's not going to dunk that.' And he expressed, 'Yes, he is.' It just kind of went back and forth."
Both Durant and Bosh were called for technical fouls. It was Bosh's second of the season and the first that will count against Durant, who also had one rescinded earlier this season.
"I'm no punk. I wasn't even talking to him, first off. He decided to butt in and I'm not going to just let that slide, especially in our house," Durant said. "Like I said, he's not one of those guys that I look at and say, 'Oh, he has a rap for talking back to guys or always getting into it.'
"No, he's a nice guy. He's not one of those guys, so I'm not going to let that type of person say something to me like that," he added.
Durant said he considers Bosh "a cool dude" off the floor, but "once I step on the floor, all that stuff goes out the door."
"I don't think it was anything to get a tech over," Bosh said. "It was just talking. He stood his ground, and I respect that."
Oklahoma City's Russell Westbrook got his third technical foul of the season for swinging his fist in the air after being whistled for a personal foul against Mario Chalmers in the final minute of the first half. Miami's Dwyane Wade picked up his sixth of the season in the fourth quarter while protesting after Serge Ibaka blocked his layup attempt.
"All of us, we're all so competitive, and when we get into circumstances in the fourth quarter, there's going to be tough calls on both sides," Heat coach Erik Spoelstra said.