At Butner federal prison in North Carolina, spokeswoman Denise Simmons announced that James von Brunn died shortly before 1 p.m. Wednesday.
Von Brunn's lawyer, A.J. Kramer, called the death "a sad end to a tragic situation," but declined further comment.
The elderly suspect had been awaiting trial for the killing of security guard Stephen T. Johns at the U.S. Holocaust Memorial Museum on June 10. Von Brunn had been wounded by return fire but survived.
Officials at the prison hospital had previously said chronic medical problems had complicated a psychiatric evaluation for the suspect, a white supremacist who prior to the shooting had written racist and anti-Semitic screeds on the Internet.
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Associated Press writer Sarah Karush contributed to this report.
