Mueller and Sheen are the parents of 2-year-old twin sons.
"Brooke has decided to remove herself from the media spotlight and has entered a long-term, in-patient treatment center where she can focus on her recovery without distraction," her publicist said in a statement issued to UsMagazine.com Tuesday.
The representative said Mueller had already checked into a facility, but declined to say which one or how long she intends to stay there.
"Out of respect for her privacy, no further information will be released about her treatment. Brooke's goal is to maintain her sobriety and she believes this is the best option to reach that goal," the statement said.
Her sons Bob and Max "will remain in their home and familiar surroundings and be under the care of their longtime nanny" until she gets home, the statement said.
Sheen has also battled addictions to drugs and alcohol. He was fired from his popular sitcom "Two and a Half Men" this year because of his substance-abuse issues and erratic behavior.
Celebrity Families of 2014 [PHOTOS]