It finished 113-101 as the Lakers recorded their third win in four games, BBC Sport reported.
Top-scorer James, who has missed the last two games because of an ankle injury, also finished with eight assists against his former side.
Fellow star Carmelo Anthony added 24 points – including six three-pointers – to play a key role in the victory.
The Lakers trailed for much of the game before taking the lead late in the third quarter, holding Cleveland to just 16 points in the fourth to seal the win.
Pre-season favourites for the title Brooklyn Nets overcame a slow start to record a 105-98 victory over the Indiana Pacers.
The Nets overturned a 16-point deficit in the second quarter to come from behind and take the points.
James Harden finished the game with 29 points, eight assists and eight rebounds, while Kevin Durant hit 22 points as the Nets bounced back from defeat earlier this week.
Elsewhere, rookie Scott Barnes scored 21 points as the Toronto Raptors edged Orlando Magic 110-109. Magic trailed by 12 points with just two minutes remaining and had a chance to win it in the final seconds but Cole Anthony missed his shot.
Miami Heat's winning streak stretched to three games with a 114-99 victory over Charlotte Hornets, as Tyler Herro came off the bench to score 26 points.
Portland Trail Blazers brushed past Los Angeles Clippers with a 111-92 victory to record consecutive wins for the first time this season, while the New Orleans Pelicans lost out to Sacramento Kings and Denver Nuggets dominated in Dallas with a convincing win over the Mavericks.
Nets owner Joseph Tsai said he is not sure when Kyrie Irving will play for them again, with the guard unable to join the team having chosen not to get vaccinated against COVID-19.
The NBA does not require players to be inoculated but Irving is not eligible to play in home games because a New York mandate requires proof of at least one shot of the vaccine to enter large indoor spaces, Reuters reported.
The Nets announced ahead of this season that Irving, a seven-times All-Star who joined Brooklyn in 2019 after stints with Cleveland and Boston, would not play or practice with the team until he is eligible to be a full participant.
"I don't know," Tsai told ESPN in an interview when asked about Irving's return. "He has to be vaccinated in order to come back if the New York mandate is still in place. Don't ask me when they may or may not change the mandate."
Tsai said he had not spoken to Irving since the team took a stance on his participation.
"Kyrie has his own belief so I respect that. But we have to make a team decision. This isn't a decision about him. This is a decision about where we go as a team," Tsai said.