Producers said Wednesday "Ann" will close after the June 30 show following 19 previews and 132 regular performances at Lincoln Center's Vivian Beaumont Theater.
The silver-tongued Richards was a longtime champion of women and minorities in government. She died in 2006 at age 73.
Taylor, perhaps best known for playing the feisty grandmother on the CBS sitcom "Two and a Half Men," has previously taken her play to various theaters in Texas, as well as Chicago and The Kennedy Center in Washington, D.C.
She earned a Tony nomination for best leading actress in a play.