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"Dad and Mom are absolutely thrilled," a source close to the actor, 39, tells PEOPLE. "Everyone's happy and healthy." This is the first child for the couple, who have been married since 2004.
Holloway's Lost costar Daniel Dae Kim knew the actor would enjoy fatherhood. "He'll be an incredible dad," Kim told PEOPLE in February. "When you talk to him about his baby, his face completely lights up."
JOSH & FERGIE: ROCKED BY SCANDAL
Did he cheat with a stripper?
Married less than a year, the couple denies an Atlanta woman’s claims that she and Josh had a fling
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