Javier Bardem and Penélope Cruz Get Married

Javier Bardem and Penélope Cruz

Entertainment Press/Splash News Online; Eamonn McCormack/WireImage

updated 07/13/2010 AT 11:00 PM ET

originally published 07/13/2010 AT 11:20 PM ET

Penélope Cruz and Javier Bardem have always kept their romance under the radar – and their intimate wedding was equally low-profile.

Cruz, 36, and Javier Bardem, 41, exchanged vows in front of family members during a small, private ceremony held at a friend s home in the Bahamas earlier this month, her rep confirms to PEOPLE.

The bride wore a gown designed by designer John Galliano, a longtime friend of the actress.

The Spanish lovebirds, who are both Oscar winners, started dating in 2007 but have famously kept their relationship out of the public eye. Last year rumors surfaced that the couple had gotten engaged, but they would not comment.

When once asked about Bardem, Cruz refused to confirm whether they were even dating, but couldn’t hold back her admiration, saying, “He’s a friend and the best actor in the world.”

Bardem won an Best Supporting Actor Oscar for his role as a killer in 2007’s No Country for Old Men. Cruz took home an Oscar for Best Supporting Actress for the 2008 Woody Allen comedy, Vicky Cristina Barcelona, which also starred Bardem.

The couple first met while filming Jamon, Jamon in 1992, one of Cruz’s first films.

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