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Story County, Iowa was named in his honor, as was Story Hall, a dormitory at Harvard Law School, and the DePaul University College of Law chapter of the legal fraternity, Phi Alpha Delta.
He has made charitable contributions to the DePaul University College of Law, Columbia University Medical Center, the Weill Cornell Medical College of Cornell University, the Tufts University School of Medicine, the Metropolitan Museum of Art, the Art Institute of Chicago, and the Metropolitan Opera.