The couple welcomed a baby boy a few days ago in New York City, according to E! News.
Back in April, the "Pretty Woman" alum, 70, and Silva, 35, made headlines when they secretly wed in a small civil ceremony after four years of dating, HOLA! reported at the time.
A month later, Gere hosted an intimate party — to celebrate the nuptials — at his Pound Ridge, New York home on Cinco de Mayo, according to People magazine.
“They’re so comfortable with each other, have fun together and are looking forward to their future together,” a source told the outlet of the pair when they married.
Gere is also dad to 19-year-old son, Homer, from his marriage to actress Carey Lowell. Silva also shares a 6-year-old son with her ex Govind Friedland, according to E! News.