Documents obtained by TMZ reveal that Naya's bundle of joy was born at 8.31am on 17 September at Cedars-Sinai Medical Centre in Los Angeles.
The couple kept their baby news a secret for almost two weeks, but the former Glee star took to Twitter on Thursday to thank fans for their support.
Naya Rivera and Ryan Dorsey have welcomed a baby boy
"Thank you for all the well wishes and sweet messages!" she wrote.
Multiple sources confirmed to Us Weekly on Wednesday that Naya had welcomed her first child, with one saying: "They are so excited to be first-time parents. It was a very easy pregnancy and birth."
"Naya was born to be a mother and is doing really great so far," another source said. "And Ryan has amazing paternal instincts and has been waiting on them both hand and foot."
The couple have named their son Josey Hollis Dorsey
The bride wore a bespoke lace gown by Monique Lhuillier that featured romantic long sleeves and an open back.
Naya and Ryan, who had been friends for four years, married on the actor's 31st birthday on 19 July, which was incidentally the same date she had chosen to wed her former fiancé.
Seven months into their secret wedding, the American beauty, who is best known for playing cheerleader Santana on Glee, took to Instagram to announce that she was expecting.
Posting a 'bun in the oven' image with a link to a message on her personal website, Naya wrote: "Surprise! We're having a baby. Ryan and I feel so blessed and can't wait to welcome the newest member of our family."