The Grammy award-winning singer gave birth to son David Daniel Otunga Jr on Monday.
'The baby is beautiful and perfect. His parents are ecstatic,' People magazine quoted Hudson's rep Lisa Kasteler as saying.
Throughout the duration of her pregnancy, Hudson refused to confirm or deny that she was an expectant mother.
David weighed 7 lbs, 14 oz., at birth and is the first child for Hudson and her fiance David Otunga.
Photograph: Danny Moloshok/Reuters