He also said that the show's producers have now 'made amends' for the gender pay gap.
The actor spoke about the issue on Sunday at the world premiere of his new biopic "Mapplethorpe" at the Tribeca Film Festival, reports hollywoodreporter.com.
"Claire is one of my best friends, and I believe that we should be paid equally and fairly and there should be equality for all," Smith said.
"I support her completely and I'm pleased that it was resolved and they made amends for it because that what's needed to happen. Going forward, I think we should all bear in mind that we need to strive to make this better and a more even playing field for everyone involved -- but not just in our industry, in all industries."
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