Paul, a well-known plastic surgeon, told TMZ, "The welfare of our children is my primary focus as Adrienne and I work through this difficult time. I want the best for her and our children and I hope that everyone can respect our privacy away from the cameras."
"I'm so sorry that this is happening but my children are my life and sometimes we need to do what's best for them," Adrienne told Radar Online.
Paul and Adrienne often bickered on the Bravo reality TV show, but always played it off. Watch two of their exchanges below:
Just last week, the couple posed together at castmate Kyle Richards' boutique opening. Paul and Adrienne have three sons: Gavin and twins Colin and Christian.
It's unclear if their marital woes will be featured on Season 3 of "The Real Housewives of Beverly Hills," which returns this fall.