Cruz's representative Amanda Silverman confirms the couple were married in the beginning of July at a friend's house in the Bahamas.
She said in an e-mail to The Associated Press on Tuesday the ceremony for the 36-year-old Cruz and the 41-year-old Bardem was a small one that only family members attended.
Cruz's wedding dress was designed by a longtime friend, fashion designer John Galliano.
Cruz and Bardem are from Spain. They appeared together in the 2008 Woody Allen romantic comedy "Vicky Cristina Barcelona." Cruz won a supporting-actress Oscar for her role.
Bardem won a supporting-actor Oscar for the 2007 crime thriller "No Country for Old Men."