Angel consequently cancelled his Las Vegas show "Criss Angel BeLIEve" to travel to Australia and be with his ailing son, reported Aceshowbiz.
He wrote on Twitter, "In light of a family emergency the news I was going to announce this weekend will be postponed. Thank you."
The 47-year-old magician never confirmed that he had a child let alone that he married the boy's Australian mother.
Part of his private life was revealed to public on Friday when he posted a photo of him holding his 20-month-old son. "Thank you for all of your thoughts and prayers. Criss," Angel tweeted.
It was the first time he had missed a date in his nearly 3,000 performances at the hotel. Refunds and exchanges for the cancelled shows are available at the original point of purchase.
A statement from Cirque du Soleil said, "It has been a passion of Criss' for many years to champion and raise money for various children's charities, but he never thought it would hit this close to home. This is a very personal family crisis." Angel is a supporter of Make-A-Wish Foundation.