California Highway Patrol Officer Jennifer Cassidy says Lawson was driving at a high rate of speed before being pulled over around 2 a.m. Tuesday on state Route 101 in Hollywood.
Cassidy says Lawson displayed several signs of intoxication. Jail records show he was released on $5,000 bail.
The Denver Nuggets said the team was aware of the arrest and would have no further comment.
Lawson was arrested on suspicion of DUI last January in Denver. He is expected in court in that case on Friday.