The former Roseanne star, 40, gave birth to the couple's first child on Saturday (28Feb15) and her The Talk co-host Julie Chen broke the news to viewers at the start of the U.S. daytime show on Monday (02Mar15).
Explaining the new mum's absence, Chen said, "Sara is on maternity leave. She just delivered over the weekend."
She added, "Our very own Sara and her wife Linda Perry are the proud parents of a new baby boy. Rhoads Emilio Gilbert Perry was born on Saturday and both mother and child are doing well."
The couple wed at the end of March, 2014.
Gilbert is also a mum to son Levi and daughter Sawyer from her previous relationship with Tv producer Allison Adler.
The newborn is the second Gilbert has carried - she gave birth to Sawyer in 2007, while Adler carried Levi in 2004.