Daljinder Kaur gave birth to a baby after two years of treatment using donor eggs at a fertility clinic in northern India.
The woman and her 79-year-old husband Mohinder Singh Gill said they had almost given up attempting to raise a family due to fertility.
They had been trying for almost 50 years to have a child.
"God heard our prayers," she told Sky News.
She went on: "My life feels complete now. I am looking after the baby all by myself, I feel so full of energy.
"My husband is also very caring and helps me as much as he can," Ms Kaur revealed.
"When we saw the (IVF) advert, we thought we should also give it a try as I badly wanted to have a baby of my own."
Daljinder Kaur she she was worried about when her and her husband passed away.
Her husband, Mohinder Singh Gill, said: "People say what will happen to the child once we die. But I have full faith in God. God is omnipotent and omnipresent, he will take care of everything."
The baby has been named Arman and was born weighing 4.4lb.
Anurag Bishbnoi, is an embryologist and owner of the National Fertility and Test Tube Baby Centre in Hishar, and has performed successful IVF treatment on several elderly couples.
He told Sky News he was initially unsure about going ahead with the treatment: "I first tried to avoid the case because she looked very frail.
"Then we made her undergo all the tests and once all the results were okay we went ahead," Dr Bishnoi said.
The pair are thought to have adopted a boy in the 1980's who went to America to study and did not return.
The couple faced social stigma in their community because of their inability to conceive.