California Highway Patrol Officer Jennifer Cassidy says Lawson was driving at a high rate of speed before being pulled over around 2 a.m. local time Tuesday on state Route 101 in Hollywood.
Cassidy says Lawson displayed several signs of intoxication.
Lawson was booked at 3:43 a.m. and released just over five hours later on $5,000 bail. He is scheduled to appear in court on Aug. 4.
"We have been notified of an incident involving Ty Lawson this morning in Los Angeles," Nuggets general manager Tim Connelly said in a statement Tuesday afternoon. "We will not have further comment on the matter."
The 27-year-old Lawson also was arrested and charged with DUI in Denver on Jan. 23. He is due in court Friday for the first arrest, although a spokesperson for the Denver District Attorney's office acknowledged to the Denver Post that Tuesday's arrest could impact those proceedings.
"Mr. Lawson posted a $1,500 bond in the Denver case earlier this year and is currently on pretrial supervision," spokeswoman Lynn Kimbrough told the Post. "The conditions of his bond include no alcohol consumption and monitored sobriety."
Lawson has spent his entire six-year career with the Nuggets since being selected by Denver in the first round of the 2009 NBA draft. The 5-foot-11 guard averaged 15.2 points and a career-high 9.6 assists per game last season.
The Associated Press contributed to this report.