With his third-place finish, Narsingh became the lone Indian to win a medal at the prestigious tournament as well as book a berth for the 2016 Rio Games.
Top six in each category qualifies for the Olympics.
This is the first time that an Indian wrestler has earned an Olympic berth with a medal at the World Championship.
Double Olympic medallist Sushil Kumar's absence from the mat for over an year now has made Narsingh a regular in the 74kg division.
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As per rules, an Olympic berth is for the country concerned and not the wrestler who might have clinched it.
Other than Narsingh, India had a dismal show overall in the championship, which concluded today, as no one else could make it to the podium.
Besides Narsingh, other Indians in the fray today -- Amit Kumar (57kg), Arun Kumar (70kg) and Sumit (125kg) -- could not progress beyond the quarterfinal round.
But in his semifinal bout, Narsingh went down to Unurbat Purevjav of Mongolia.
However, in his bronze medal play-off, he got his act together to outplay Zelimkhan Khadjiev of France 12-8 to make it to the podium.
Arun, meanwhile, did well to beat Tat Du Can of Vietnam 7-0 and Semen Radulov of Ukraine 5-4 to advance to the quarterfinal round. But he lost to local wrestler James Malcolm Green 0-10 in the last-eight stage.
Sumit was beaten by Aiaal Lazarev of Kyrgyzstan 0-3 in the Round of 1/16.