James racked up 33 points, 12 rebounds and 12 assists as the Cleveland Cavaliers held off a second-half rally by hosts Chicago at the United Center.
James, who has 15 triple-doubles this season, became the sixth player in NBA history to reach 70 for his career, joining Oscar Robertson (181), Magic Johnson (138), Jason Kidd (107), Russell Westbrook (101) and Wilt Chamberlain (78).
Jeff Green added 21 points and Jordan Clarkson had 19 for Cleveland, which won for the second time in three games.
Ante Zizic added 14 points for the Cavaliers, who shot an efficient 50.6 per cent (44 of 87) from the field.
James notched his 70th career triple-double to help the Cleveland Cavaliers beat Chicago Bulls 114-109, as a depleted Golden State Warriors side defeated the Phoenix Suns 124-109 yesterday morning