Joseph Gordon-Levitt welcomes his first child

Los Angeles - Joseph Gordon-Levitt's wife, Tasha McCauley, has given birth to their first child.

The Snowden star and the entrepreneur, who quietly married during an intimate ceremony at their Los Angeles home in December, are over the moon after welcoming a baby boy into the world last weekend.

A source close to the 500 Days of Summer star, 34, told Us Weekly magazine: "Everyone's happy and healthy."

The couple, who kept Tasha's pregnancy a secret, have no plans to release their son's name, but another insider told PEOPLE.com: "The family is all happy and healthy."

The duo started dating in 2013 after being introduced by mutual friends, but Joseph, who has always been tight-lipped about his private life, previously admitted Tasha, who is currently a business director at GeoSim Systems, isn't interested in being in the spotlight.

The former 3rd Rock from the Sun star once told Howard Stern: "I have a girlfriend, but I tend not to really like to talk about it in public. The girl that I'm with, she really doesn't want to be a part of that."

Shortly after they got together, a source revealed: "She's very intellectual and a creator, which he finds very attractive. It's a really healthy and normal relationship."