The petition doesn't give any details about the split. Robyn Gibson is seeking jewelry and some other property, and has suggested joint custody for their 9-year-old son.
The records show the couple were married in June 1980.
They issued a joint statement Monday, saying they have "always strived to maintain the privacy and integrity of our family and will continue to do so."
Gibson is one of Hollywood's biggest names, with a pair of Oscar wins for best picture and director for "Braveheart."
The divorce was first reported by celebrity gossip site TMZ.
What the El!?! Editorial:
Wow, after 28 year, see ya.
He has changed as far as his status in Hollywood and the types of movies he does, so you have to think that's translating to life off-screen.