Cobb gave birth to the couple’s first child, a baby son, on Thursday.
Faison tweeted, “Yesterday @caceecobb and I welcomed the most amazing little boy into our lives! Oh Happy Day!!”
Cobb retweeted her husband’s post, and added, “The happiest day of my life.”
The pair got married last December at the L.A home of Faison’s “Scrubs” co-star Zach Braff.
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