At least 20 cheetahs are coming to India from South Africa and Namibia, home to more than a third of the world's 7,000 cheetahs.
The first batch of eight - five females and three males, arrived from Namibia on the occasion of Prime Minister Narendra Modi's birthday on Saturday. They arrived to the Indian city of Gwalior.
They will undergo a month-long quarantine before being released in a national park in central India.
Cheetahs formerly shared jungles with other big cats like lions and tigers but disappeared 70 years ago.
They are the world's fastest land animals, capable of reaching speeds of 70 miles (113km) an hour.
This is the first time a large carnivore is being moved from one continent to another and being reintroduced in the wild.