Lawson was apprehended by the California Highway Patrol at about 2:30am local time after driving at high speed on a freeway.
"We have been notified of an incident involving Ty Lawson this morning in Los Angeles," said Nuggets general manager and executive vice president of basketball operations Tim Connelly. "We will not have further comment on the matter."
Lawson was scheduled to appear in court on Friday regarding a January 23 drink driving arrest in Denver but that could be changed.
He had been given pre-trial supervision release until that court date but his latest arrest violates the terms from that earlier deal.
Lawson, 27, has spent all six of his NBA seasons with the Nuggets. He averaged 15.2 points and 9.6 assists a game last season for Denver, which went 30-52, 12th in the Western Conference and 15 games out of a playoff spot.