June 06, 2013 12:30 PM

Robin Marchant/Getty

Will Yun Lee may be willing to take on The Wolverine, but is he tough enough to tackle daddy duty?

The actor and his wife, actress Jennifer Birmingham Lee, welcomed their first child on Monday, June 3, his rep confirms to PEOPLE exclusively.

Son Cash Yun Lee arrived in the evening in Los Angeles.

“Monday was easily the best day of our lives! Baby Cash has arrived!!! We can’t be happier! Absolutely floating!” Birmingham Tweeted Wednesday.

The Hawaii Five-O star seconded Birmingham’s sentiments, Tweeting, “The best day of our life is the arrival of our baby boy.”

Lee — who will next appear as the lead villain opposite Hugh Jackman in The Wolverine — and Birmingham tied the knot in October 2010.

— Anya Leon with reporting by Julie Jordan

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