April 12, 2012 05:00 PM

Beck Starr/FilmMagic

NCIS star Michael Weatherly and Bojana Jankovic welcomed their daughter Olivia on Tuesday, but it wasn’t until after they chose her name (Mom picked it out!) that they realized its deeper significance.

“My wife Bojana is Serbian and her name means war or warrior,” Weatherly, 43, tells PEOPLE.

“And when you give someone an olive branch, that’s an offering of peace so Olivia is peace. I think we have a Tolstoy novel going on now: Mother and daughter, war and peace!”

In spite of the “happy coincidence,” the new dad says that Jankovic and their bundle of joy “are instantly getting along so well, so there’s no problems.”

The same can be said for baby girl and Weatherly, who will continue shooting his CBS show until it wraps in a few weeks — and then he’ll have more time to spend with his family. Still, he adds, being on set isn’t all bad.

“I instantly felt surrounded by the love,” he says of sharing the birth announcement with the cast and crew. “I got a big hug from Mark Harmon. I was of course texting everyone! Everyone here has been incredibly supportive.”

— Lesley Messer

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