April 13, 2009 07:25 PM

Jeff Kravitz/FilmMagic

Lost star Josh Holloway is a proud new papa! Wife Yessica delivered the couple’s first child — a daughter named Java Kumala Holloway — on Thursday, April 9th in Oahu, Hawaii, where the hit show is filmed. A source close to the 39-year-old actor confirmed the news exclusively to PEOPLE, adding:

“Dad and mom are absolutely thrilled. Everyone’s happy and healthy.”

Josh and Yessica were married in 2004; The pregnancy was announced in December.

Source: PEOPLE

— Missy

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