Dawson, 23, was arrested Sunday at 8:30 a.m. PT and booked at 9:50 a.m. PT. He was released after posting $50,000 bond about six hours later.
Dawson was arrested for an incident involving his live-in girlfriend, a league source told ESPN's J.A. Adande. TMZ had earlier reported Dawson's arrest.
Los Angeles Police Officer Rosario Herrera told The Associated Press that Dawson was taken into custody around 7:30 a.m. PT Sunday at a residence in the Playa Vista area, where the team's practice facility is located on the city's west side.
"It's an awful situation,'' Clippers coach Doc Rivers said. "I have a daughter. So, it's a terrible situation, but we'll figure out what we want to do and how we want to handle it."
Dawson was recalled to the Clippers from the NBA Development League's Erie BayHawks on Saturday morning.
The 56th pick in the 2015 NBA draft, Dawson has appeared in three games for the Clippers and has 26 appearances in the D-League with the Bakersfield Jam, Grand Rapid Drive and the BayHawks, where he averaged 19.2 points, 9.2 rebounds and 2.2 steals in six games for the team.
The Associated Press contributed to this report.