Activists have pushed for the NYPD to amend its policy and bring along specialized teams for calls involving emotionally disturbed people.
The lawsuit was filed Monday in Manhattan federal court. It seeks unspecified damages for the September 2012 killing of 28-year-old Mohamed Bah, shot in his Morningside Heights home.
In a statement, the NYPD reiterated that officers are authorized to use deadly physical force when they reasonably believe they must do so to protect themselves or another person or persons present from imminent death or serious physical injury.
Authorities described the woman as emotionally disturbed, but said passengers were never in any danger. She was taken to Jamaica Hospital after the plane landed at JFK Airport.