Camille Marie Kelly was born at the Princess Grace Hospital, a facility named for her late grandmother.
Princess Stephanie, 33, has not announced the identity of the infant's father. Since her divorce less than two years ago, the princess remains single. Her previous marriage - to Daniel Ducruet - ended in October 1996 after 15 months of marriage. The couple's children, Louis, 5, and Pauline, 4, were both born before the two were married.
The divorce occurred after Italian magazines printed photos of Ducruet in a poolside romp at a villa near Monte Carlo with the then-reigning Miss Nude Belgium, Fili Houteman. Although Ducruet took legal action to stop further publication of the photos, it didn't save his marriage.
Stephanie met Ducruet when he was assigned to protect her during her brief career as a rock singer in 1988. Stephanie reportedly battled her father for permission to appear at functions with Ducruet and, eventually, to marry him.
The princess is one of three children of Prince Rainier and former American movie star Grace Kelly, who was killed in a car crash Sept. 14, 1982.