"Many compliments to each and everyone who have contributed to this victory of democracy. The spirit and ideal of democracy have once again been established for the world to witness," Rashtriya Swayamsevak Sangh (RSS) general secretary Bhaiyyaji Joshi said in a statement.
"Crores of people of Bharat are fortunate to have once again a stable government," he said.
The saffron organisation expected that the new government would endeavour and succeed in fulfilling the aspirations and ambitions of the common people while the opposition parties accept the defeat with all humility.
"We wish that with the completion of the polling process, all bitterness will end and the verdict of the masses is welcomed with humility," he added.
Meanwhile, Prime Minister Narendra Modi said India has won again and together with everyone, a strong and inclusive nation will be built.
Riding on a massive Modi wave sweeping through most parts of India, the BJP was set to return to power as it led in over 300 seats while the Congress trailed far behind with about 50, according to trends released by the Election Commission for all 542 seats that went to polls.
"With all+ development for all+ everybody's confidence = victorious India," Modi tweeted. "Together we grow. Together we prosper. Together we will build a strong and inclusive India. India wins yet again," he said.
After Jawaharlal Nehru and Indira Gandhi, Narendra Modi is the third prime minister of the country who has been able to retain power for a second term with full majority in Lok Sabha.
As counting goes on across the country on Thursday, trends show the Modi-led BJP would be easily able to cross the halfway mark of 272 seats in the 17th Lok Sabha elections.
In 2014, the BJP had won 282 seats out of total 543 in Lok Sabha.