Bundchen, 29, announced the name on her Web site in a thank-you message to her fans Friday. "I am living a very special moment in my life, Benjamin is a blessing and I could not be happier," she wrote.
Brady, 32, announced his son's birth Wednesday at a press conference. "It went great," Brady said. "I didn't get much sleep, but I think that's most of us around here this time of year. I think everyone is doing well."
Benjamin is the first child for the former Victoria's Secret model and the second for Brady. The New England Patriots quarterback has a 2-year-old son, John Edward Thomas, with ex-girlfriend Bridget Moynahan. Brady and Bundchen married this past February.