The couple welcomed their first baby on July 1 and has named him Lucian Augustus Coppola Cage, reported Us magazine.
"Lucian Augustus Coppola Cage was born on July 1, 2014 at 3:14 pm," the representative for the couple said. This is the couple's first child.
News of Danielle's pregnancy first broke earlier this year. The couple had chosen the baby's name months before birth.
"Lucian is of Romanian descent, which is what I am," Danielle had said. "And Augustus is taken from Weston's grandfather. We honour him very much. He was of extreme brilliance. He was a genius," Weston had said.