A source confirmed the news of their marriage here Tuesday to people.com.
A bigger wedding celebration is still to come this weekend on Depp's Little Hall's Pond Cay private island in the Bahamas.
Depp, 51, and Heard, 28, got engaged over the holidays in 2012 after meeting on the set of 2011's "The Rum Diary."
They stepped out as a couple in 2012 after the actor split with long time partner Vanessa Paradis, and though Depp and Heard weathered split rumours late last year, the two have seemed better than ever as of late.
"They're great together," said a source.
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