"Off-screen she was one of the kindest, sweetest, most caring woman [sic] I've ever known", he tweeted.
Chief Strategist for Barack Obama's presidential campaigns, David Axelrod, wrote, "Margot Kidder should be remembered as much for courageously, candidly discussing her battles with mental illness as for any screen role".
Before she was cast as Lois Lane in 1978's Superman: The Movie, Margot Kidder's acting credits included movies like A Quiet Day in Belfast, Black Christmas and The Great Waldo Pepper, as well as TV shows like Nichols, McQueen and Barnaby Jones.
She struggled with bipolar disorder for many years, after being diagnosed with the condition after a manic episode in 1996, in which she was found in a disorientated state, having apparently been living outdoors and sheltering in bushes in Los Angeles for several days.
Kidder had a debilitating auto accident in 1990 that left her in a wheelchair for most of two years and made it hard to work.
"The energy we had was one of brother and sister, which was often bickering, that took the place of romantic energy", she told website Hey U Guys.
One year after Superman: The Movie's release, Margot Kidder also starred as Kathy Lutz in The Amityville Horror, for which she earned a Saturn Award nomination. She was arrested at the White House in 2011 during a protest against the construction of an oil pipeline from Alberta to Texas.
Kidder married and divorced three times, according to trade journal Variety.
Prince Harry and Meghan Markle are asking for "understanding and respect" following reports that Markle's father Thomas may not be going to his daughter's wedding after allegedly staging a series of paparazzi photos.
DC Comics, the home of the Superman franchise, also issued a statement on Twitter. Her third marriage was to the French director Philippe de Broca, from 1983-84. I'll miss you, Margot Kidder. "Your legacy will live on forever".