The evenings, entitled Songs and Stories, are part of the Manhattan nightspot's Diamond Series, which features concert-length performances by Broadway artists matched with specially curated dinners.
Mitchell will be accompanied by a trio led by his long-time pianist and collaborator, Tedd Firth.
Mitchell won the 2000 Tony, Outer Critics Circle, and Drama Desk awards for his performance as Fred Graham/Petruchio in Kiss Me, Kate, and his other Broadway credits include Shuffle Along; King Hedley II; Ragtime; Love/Life; Kiss of the Spider Woman; Jelly's Last Jam; Oh, Kay!; Mail; and the City Center Encores! presentations of Do Re Mi, The Band Wagon, and Carnival. Mitchell, who is Chairman of the Board of the Actors Fund, is also the recipient of the 2016 Isabelle Stevenson Tony Award.