Griffin, who has spent his entire career with the Clippers, goes to Detroit along with guard Willie Green, forward Brice Johnson, and a second-round pick, US television broadcaster ESPN reported.
The Clippers will receive guard Avery Bradley, forward Tobias Harris, centre Boban Marjanović, and a first- and second-round pick.
The deal comes as a surprise because Griffin signed a five-year contract in the offseason to stay with the Clippers. The Clippers are ninth place in the Western Conference with a record of 25-24.
Griffin, the 2011 NBA Rookie of the Year, is averaging 22.6 points, 7.9 rebounds, and 5.4 assists in 33 games this season.
Over his career, Griffin has averaged 21.6 points, 9.3 rebounds, and 4.2 assists.
Griffin’s career has been beset by injuries. After being drafted with the first pick in the NBA draft in 2009 by the Clippers, Griffin broke his left kneecap, had surgery, and missed the entire 2009-10 season.
Since then, he has missed time with back spasms, a torn left quad, a broken hand, a staph infection, knee surgery, a broken toe, a sprained left MCL, and a concussion.