Ford and Buckley's son was born on September 23. The designer's representative has confirmed, reported E! online.
But little is known about the baby, who is believed to have been born via a surrogate mother.
The former creative director of Gucci has been with journalist Buckley for 25 years and says it was love at first sight when they met at a fashion show in 1986.
Ford has previously stayed coy about his intention to have children, but said that he would never use any child as a "press tool" and would keep them out of the spotlight.
"If I have children, no one will know about it until the child is born. And no one will ever see the child because I certainly wouldn't use it as a press tool.
"If I have a child, you won't notice that I had a child. Maybe you'll see it when it's 18, but I will keep it out of the spotlight," he had said.
