The suit also names the actress' son, Liam Dunaway O'Neill, as a subtenant of the Manhattan apartment.
According to the New York Times, the housing court suit was filed on Tuesday.
The suit says the "Bonnie & Clyde" actress owns a house in West Hollywood and has her voter and car registrations there as well.
Rent stabilization rules require tenants to use those apartments as a primary residence. The landlord alleged Dunaway is treating the apartment as her second home.
The suit states she pays $1,048 for the one-bedroom walk-up. The Times says similar apartments in that neighborhood rent for about twice that.
The 70-year-old actress and her son have yet to comment.
The Associated Press contributed to this report.