Natasha Godley, who has a 6-year-old son, says she complained because "it was like promoting kids to go to jail."
Housing Authority spokeswoman Sheila Stainback says it was part of the original design of the playground, which was erected in 2004. She says no one complained until this week.
Stainback said the agency wants to replace that part of the playground and is looking into who ordered the equipment.
Changes also were being made to a second fake jail. Stainback declined to divulge its location.