With this, India joins an elite club of countries to achieve a soft landing on the Moon, after the US, the former Soviet Union and China.
The Vikram lander from Chandrayaan-3 successfully touched down as planned at 18:04 local time (12:34 GMT).
Celebrations have broken out across the country, with Prime Minister Narendra Modi saying "India is now on the Moon".
"We have reached where no other country could. It's a joyous occasion," he added. Mr Modi was watching the event live from South Africa where he is attending the Brics summit.
