The 'My Heart Will Go On' singer ' who delivered the two boys via Caesarean section on Saturday (23.10.10) ' found the experience particularly emotional after undergoing six in vitro fertilisation (IVF) attempts in the last year alone.
Her husband Rene Angelil explained: 'When Saturday at 11:11, they showed us the first baby that was crying, we were crying. It was a very emotional moment, and even though we didn't speak to each other, we were both thinking about the time it took.
'We are very lucky, very privileged and very fortunate to have these boys.'
The couple's nine-year-old son Rene-Charles is also thrilled with the new arrivals because he was desperate to have a younger brother.
Rene said: 'He was very, very happy that it was boys. I remember a few months ago when mom told him the day we were going to know if it was a boy or a girl or two boys or two girls . his reaction pointing to his mom's belly he said, 'I hope there's not too many girls in there.' '
However, 42-year-old Celine only plans to take three months out from her busy schedule, and will begin rehearsing for her three-year Las Vegas residency, which starts in March, in January.
Rene added to Canadian entertainment show etalk: 'We know she's going to start rehearsing on January 17. It gives her three months to recoup and she thinks she can do it.'