It was Brad, 44, who cut the umbilical cord, and he admits the whole experience was rather overwhelming.
"I felt an awe words fail to describe," said Brad.
When they got to know for the first time that they were having twins, Angelina Jolie and Brad Pitt "burst into hysterics".
The couple spoke about the birth in a reported 7.5million pounds magazine deal for charity.
"We were in shock and could not stop laughing," the Sun quoted Angelina, 33, as saying.
The twins, Vivienne Marcheline and Knox Leon were born on 21 July by a Caesarean section in Nice, France.