The NBA confirmed Lawson's suspension, per Chris Mannix of Sports Illustrated.
According to Feigen, Lawson's three-game suspension is for his July 2015 arrest in California.
This is the second time during the 2015-16 season that Lawson has been suspended for his past DUI problems. He sat out two games in December stemming from his 2014 DUI charges, per Adrian Wojnarowski of Yahoo Sports.
Lawson has battled problems with alcohol and substance abuse, being arrested four times for suspicion of DUI dating back to his college days at North Carolina, per Joseph Serna of the Los Angeles Times, who cited media reports.
According to TMZ Sports, Lawson pleaded guilty to charges stemming from a January arrest in Denver and is scheduled to be sentenced this month.
The Rockets acquired Lawson from the Denver Nuggets in July, less than one week after his most recent DUI arrest occurred. He entered a private alcohol treatment facility over the summer after a Denver judge ruled the 28-year-old wouldn't face DUI charges until he completed a 30-day program, according to ESPN.com.
Since being traded, Lawson has been able to stay out of trouble and has played in 32 of the Rockets' 36 games this season. The former first-round pick hasn't made the offensive impact Houston hoped, though, averaging just 6.4 points per game for the defending Southwest Division champions.