The 42-year-old actress was taken into custody on Saturday morning (March 31) at 12.50am by the Los Angeles County Sheriff's Department "on a felony charge of corporal injury upon a spouse", reports TMZ. Her bail is placed at $50,000.
Kelly played Laurie Forman, the sister of Eric Forman (Topher Grace), on the Fox sitcom, which also starred Ashton Kutcher and Mila Kunis.
The actress was replaced by Christina Moore in the fifth season.
In 2010, Kelly was found guilty of drunk driving in North Carolina. She was fined and sentenced to 12 months of unsupervised probation.
That '70s Show ended its eight-season run on May 18, 2006.
Watch a clip of Lisa Robin Kelly on That '70s Show below: