"It is an amicable split and there is no third party involved," the rep said. "Any other related allegations are completely false. The family appreciates your respect for their privacy at this time."
Tina, 52, and Joe, 54, are also the parents of Ashlee Simpson. They have been married for more than 30 years.
Rumors about their divorce began circulating after Joe was arrested on DUI charges in August. He plead not guilty to two misdemeanor counts in September.
Joe managed Jessica's career as she shot to fame in the late 1990s and early '00s. He infamously bragged about his daughter's breasts in a 2004 interview with GQ, saying "Jessica never tries to be sexy. She just is sexy. If you put her in a t-shirt or you put her in a bustier, she's sexy in both. She's got double D's! You can't cover those suckers up!"