Vujicic made the announcement to fans on his Facebook page last night.
Kiyoshi James Vujicic is his first child with wife Kanae Miyahara.
Vujicic has inspired people around the world with his personal story of being born without arms or legs and how he has succeeded in leading a happy and fulfilled life.
He travels the world encouraging people, especially teens, not to give up in the face of difficult circumstances and develop a positive outlook on life no matter what they are going through.
Vujicic has spoken openly of how he contemplated suicide at the age of eight and complained to God about his limitations, before learning how to be grateful for and use what he did have for the glory of God and the good of others.
He and Kanae wed last year. Announcing the birth of Kiyoshi, he said: "Thank you Jesus!"