23 February 2017 Last updated at 16:55 GMT
Speaking in a rare interview with Olly Lambert for BBC Newsnight, Justice Ginsburg also reiterated the importance of the free press.
Justice Ginsburg was attending the final dress rehearsal of Dead Man Walking at the Kennedy Center in Washington, DC - an opera looking at the moral ambiguity of the death penalty in America.
Justice Ginsburg was nominated by Bill Clinton and is regarded as a liberal.
Supreme Court Justice Ruth Bader Ginsburg says the US is "not experiencing the best of times" - but the "pendulum" will swing back.