updated 04/25/2013 AT 1:00 PM ET
•originally published 04/25/2013 AT 1:30 PM ET
Joe and Tina Simpson’s 34-year marriage is officially over.
A source confirms to PEOPLE that Jessica Simpson and Ashlee Simpson’s parents’ divorce has been finalized. Tina, 53, filed for divorce in October and cited “discord or conflict of personalities” in court papers.
“It’s an amicable split and there is no third party involved. Any other related allegations are completely false,” a family rep told PEOPLE last fall amid rumors that Joe, 55, had come out to his family.
Tina and Joe, a manager and former minister often called “Papa Joe,” wed in Texas in 1978.
Jessica, a source told PEOPLE in October, was “sad, but she’s okay. She’s going on with everything.”