Modi has also promised that, if elected, he would take decisive steps to unblock stalled investments across the country to revive economic growth.
"Modi has said very clearly that its 'toilets over temples.' For a deeply religious man, that kind of very stark statement is an interesting indication of his commitment to develop the country," Thomas R. Pickering, a former U.S. ambassador to India told CNBC.
Friend or foe?
The U.S. will be watching the final election result closely, even as relations with its long-time Asian ally soured at the end of last year following the arrest and strip-search of an Indian diplomat in New York.
Analysts say it's in both U.S. and Indian interests to get off to a good start once the BJP starts forming India's next government, noting that bilateral trade between both countries is estimated at roughly $100 billion a year.
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They add that the U.S. needs a friendly India as it pulls U.S. troops out of Afghanistan and seeks to balance China's power in Asia. Millions of Indians live in the U.S., meanwhile, and economic ties between the two countries are strong.
According to media reports, the U.S. government could drop the travel ban on Modi if he becomes India's next prime minister. Britain lifted its travel ban on Modi in 2012.
"Modi will want to put U.S. relations on a new path and separate it from what he may feel personally about the visa ban," said Vishnu Varathan, market economist at Mizuho Corporate Bank. "It's also in U.S. interests to lift a ban on the prime minister of a country seen as a strategic partner in Asia."
On the domestic front, analysts say that while the economic policies of the BJP and ruling Congress do not vary significantly, the focus is on whether Modi can transfer the economic policies that proved successful at a state level to a national level.
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The Congress party has come under fire for not doing enough to boost foreign investment, bring down inflation and rein in a current-account deficit.
The BJP's vision, under Modi, has put an emphasis on urbanization, infrastructure and cutting back red-tape.
"In terms of economic policy, Modi is seen as a reformist and he won't want to squander that reputation, so he's likely to welcome foreign investment and friendly ties with the U.S.," said Varathan.
"Modi has said that Congress has mishandled the economy, so the onus is on him to now fix it," he said.