Jolie gave birth to Shiloh Nouvel in Namibia last month.
But Bertrand, who has been staying at the Beverly Hills Hotel in recent months while she receives treatment for uterine cancer, was too ill to be by Jolie's side when she gave birth.
A source tells British newspaper The Sun, "Angelina originally wanted to give birth to Shiloh in France. But Marcheline simply wasn't well enough to make the long-haul flight to be by her daughter's side."
"Angelina has been determined to let her mother hold Shiloh before it was too late. When she finally put Shiloh in her arms it was an emotional moment to say the least."
"Angelina was overwhelmed that her mother managed to battle through to see her granddaughter at last."