The supermodel, 29, made the name announcement on her website.
"I want to thank you all with all my heart for the immense love I have received here on the website," the supermodel writes. "I am living a very special moment in my life. Benjamin is a blessing and I could not be happier."
Last week, Brady, 32, said in an interview on WEEI Sports Radio, "We thought we had a name picked out for about six months and then about two days before he was born she said, 'I don't like that name anymore.'"
The Patriots quarterback also has a son with ex Bridget Moynahan.