The Mangalyaan robotic probe, one of the cheapest interplanetary missions ever, will soon begin work studying the Red Planet’s atmosphere.
A 24-minute engine burn slowed the probe down enough to allow it to be captured by Mars’s gravity.
Indian Prime Minister Narendra Modi said the country had achieved the “near impossible”.
Only the US, Russia and Europe have previously sent missions to Mars, and India has succeeded on its first attempt – an achievement that eluded even the Americans and the Soviets.
The latest US satellite, Maven, arrived at Mars on Monday.
US space agency Nasa congratulated its Indian counterpart, the Indian Space and Research Organization (Isro), on Wednesday’s success.
“We congratulate @ISRO for its Mars arrival! @MarsOrbiter joins the missions studying the Red Planet,” the agency tweeted.