Vincent Kartheiser and Alexis Bledel Are Married

Vincent Kartheiser and Alexis Bledel Are Married
Alexis Bledel and Vincent Kartheiser
Ron Wolfson /Landov

08/06/2014 AT 03:45 PM EDT

They've gone from Mad Men costars to man and wife!

Vincent Kartheiser and Alexis Bledel are married, PEOPLE confirms.

The two exchanged "I do"s during a hush-hush ceremony in California back in June, her rep tells PEOPLE.

This is the first marriage for Kartheiser, 35, and Bledel, 32, who first met on the set of Mad Men, on which they played a pair of lovers carrying on a doomed tryst.

That chemistry carried over off-screen, as the two later went public as a couple in October 2012 when they walked the red carpet at a photography event in New York City. Five months later, Kartheiser popped the question.

"They are such a yin and yang," costar Elisabeth Moss told PEOPLE last March. "I've known Vinny for 12 years and Alexis is just the sweetest. I've never seen Vincent like this. It is really cool."

For the most part, the duo have remained mum about their romance, amid the occasional glimpse of them out on a date night.

In an interview with Vulture in April, Kartheiser let slip a rare glimpse into their relationship, as he recounted working with Bledel on Mad Men.

"We were completely professional. We never saw each other out. We never – it was nothing, it was just work," said the actor, who recently put his compact Hollywood home on the market.

Guess now we know why.

Reporting by JULIE JORDAN

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