After 34 years of marriage, Tina and Joe Simpson, parents to pop stars Jessica and Ashlee Simpson, have decided to call it quits.

"It is an amicable split and there is no third party involved," the couple's rep told People magazine. "Any other related allegations are completely false. The family appreciates your respect for their privacy at this time."

According to TMZ, Tina Simpson, who married Joe in 1978, filed for the divorce on September 24 in McLeannan County, Texas, claiming, "The marriage has become insupportable because of discord or conflict in personalities." Tina also stated that she has separate property from her estranged husband that she is looking to keep.

In August 2011, Joe shared with his Twitter followers that he and Tina were celebrating their 33rd anniversary in Hawaii. "Enjoying 33 years of adventure with Tina Ann drew," Joe tweeted. "Celebrating in Hawaii!"

Joe, often referred to as "Papa Joe," is a former youth pastor and Baptist minister and is the longtime manager to both his daughters.

Joe and Tina were often featured on their daughters' MTV reality shows: Jessica and ex-husband Nick Lachey's "Newlyweds" and "The Ashlee Simpson Show." The couple recently celebrated the birth of their second grandchild, when Jessica and fiancé Eric Johnson gave birth to daughter Maxwell in May.

"Proud PaPaJoe !! Beautiful baby girl," Joe tweeted. "What a miracle!"

Ashlee has a 3-year-old son, Bronx, with ex-husband Pete Wentz.

Last month, Joe Simpson pleaded not guilty to DUI charges after being arrested in Los Angeles on August 4 on suspicion of driving under the influence.