Johnny Depp and Amber Heard Wed on His Private Island!
02/08/2015 AT 10:55 PM EST
Photos show just two dozen seats set up on Sunday in front of a white marquee on a picturesque beach on Depp's private island, Little Hall's Pond Cay, in the Bahamas. In another area of the 45-acre island, which Depp bought for a reported $3.6 million in 2004, a long table was prepared for a reception.
While Depp, 51, and Heard, 28, held their wedding bash this weekend, a source told PEOPLE that the two first got legally married at their home in Los Angeles on Tuesday.
The pair revealed their engagement in January 2014, with Heard stepping out sporting a large sparkler on her ring finger. They were quickly seen out together on several public date nights, from film premieres to awards ceremonies.
Two months later, they threw a huge engagement party at L.A.'s Carondelet House, kicking it off with a private dinner attended by a small group of family members immediately beforehand.
The couple, who met on the set of 2011's The Rum Diary, have weathered rumors that their relationship was on the rocks, with a source telling PEOPLE in December that the two had hit a rough patch.
They put the kibosh on that earlier this year, when they stepped out together at the 8th Annual Heaven Gala in Los Angeles on Jan. 11 and shared a very public kiss.
The outspoken Heard, whose last long-term relationship was with photographer Tasya Van Ree, "is a female version of Johnny," a longtime Depp friend told PEOPLE shortly after the couple's engagement.
"She's sort of kooky and outspoken, and while that would intimidate many guys, it is a turn-on for Johnny."
With Heard now living full-time at Depp's secluded West Hollywood estate, she has grown close to his kids from his 14-year relationship with French actress-singer Vanessa Paradis: Lily-Rose, 15, and Jack, 12, of whom he and Paradis share custody. Paradis, meanwhile, has moved on with new beau Benjamin Biolay.
It is Austin native Heard's first marriage and the second for Depp, who was married to makeup artist Lori Anne Allison from 1983 to 1986.