James, 34, became the ninth player to reach the mark and the first to combine it with a minimum of 9,000 rebounds, which he achieved in November.
The four-time MVP and three-time NBA champion registered the record-breaking assist with a pass to Lakers team-mate Anthony Davis in the first quarter at Staples Center.
Western Conference leaders the Lakers led the Mavericks 54-43 at half-time as they looked to build on the skid-snapping 128-120 win over the Portland Trail Blazers.
Lakers superstar James was averaging 25.5 points, 10.8 assists and 7.5 rebounds per game heading into Sunday’s matchup.
Luka Doncic sent a scare through the Mavs camp after a heavy fall following a hard foul in the second quarter, but the star guard was cleared to return for the second half.
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