Addressing a rally in the National Capital, he said this Assembly election has demonstrated to the world the faith the people of the state have in Indian democratic system by defying threats and boycott calls.
"My biggest thanks to the people of Jammu and Kashmir. They turned out in such large numbers to vote despite calls by separatists... There were efforts to whip up anti-India sentiments and defame India globally," he said.
He said the state, which at one point of time did not record even two percent votes, saw a 65-70 percent turnout this time around.
About BJP, which got 25 seats in the 87-member Assembly, Modi said it had registered a "historic victory".
He, however, was silent on the stalemate that followed the fractured electoral verdict with no political government being formed in the state. Because of this, Governor's Rule was imposed in the state yesterday.
PDP, which has emerged as the single largest party with 28 seats, and BJP were in talks to form the government but apparently could not reach any agreement.
Some sections of Jammu and Kashmir have deplored the fact that political parties could not form a government in the state and suggested that it was insult to the voters who had turned out in large numbers despite threats and boycott calls.

Stable government in J&K soon: BJP
Declining to give any timeframe on formation of government in Jammu and Kashmir, BJP on Saturday claimed there will be a stable government in that state soon.
"We hope to have a stable government. BJP, obviously will be a part of that government. We will have a stable government in Jammu and Kashmir soon," BJP National General Secretary Ram Madhav said.
He was talking to reporters here on the sidelines of a function, a day after Governor's Rule was imposed in J&K.
On the delay in the formation of the new government, he said, "Yes it is taking some time. We hope to bring some kind of arrangement soon."
"We do not want to give any deadlines. We want to do it as soon as possible," he said, adding, that was the reason he was rushing to Delhi.
Governor's Rule was imposed in Jammu and Kashmir on Friday, with PDP, which emerged as the single-largest party, and BJP failing to cobble up the required number to form the government.
On the controversial 'ghar wapsi' (reconversion) programme of the VHP, the BJP leader declined to comment, saying "our people have answered it. Whatever our people have said is our response also."

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