World Update: 72-year-old woman gives birth to baby boy
Kaur said she and her 79-year-old husband Mohinder Singh Gill had almost given up hope of having a child after 46 years of marriage due to infertility.
"God heard our prayers," she told AFP news agency.
"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."
The baby, who has been named Arman, was born weighing 4.4lb (2kg).
Anurag Bishbnoi, an embryologist and owner of the National Fertility and Test Tube Baby Centre in Hishar, has performed successful IVF treatment on several elderly couples.
He said Kaur and Gill had faced several obstacles in their quest to become parents and previously could not afford treatment.
After unsuccessful attempts to conceive, they adopted a boy in the 1980s but he went to the US to study and never returned.
The couple also faced social stigma because of their inability to conceive.