On behalf of Poehler and her husband, Will Arnett, "I can confirm that Amy gave birth to Archie Arnett on Saturday," read a statement from Poehler's spokesman, Lewis Kay.
The baby was born early Saturday evening in New York, weighing 8 pounds, 1 ounce.
Mother and child were "healthy and resting comfortably," according to the statement.
Poehler, who performed on Thursday night's special edition of "SNL" and is known for playing Sen. Hillary Rodham Clinton, was rehearsing the show until Friday. She also starred opposite Tina Fey in this year's "Baby Mama" as a working class girl who agrees to be a surrogate mother for a single businesswoman.