Kovind, 71, filed the papers in the presence of Prime Minister Narendra Modi, BJP President Amit Shah and Chief Ministers of states ruled by the Bharatiya Janata Party and its allies as well as parties backing him.
Kovind filed three set of nomination papers. BJP leaders said another set will be filed on June 28, the last date for filing nominations in the election which will see the former Bihar Governor take on opposition candidate and former Lok Sabha Speaker Meira Kumar.
A former BJP MP, Kovind told the media after filing his nomination that he has had no party affiliation since he became the Bihar Governor after Modi took power in New Delhi in 2014.
"The President's post carries a lot of dignity. My effort will be to keep the post above party politics. I promise I will try my best to uphold the dignity of this office. The Constitution is supreme and it is our duty to maintain its supremacy," he added.
Kovind said the President was the supreme commander of the armed forces. "It is our priority to secure the borders of our country."
Kovind thanked Modi, the NDA Chief Ministers and others for supporting his candidature.
Senior BJP leaders L.K. Advani and Murli Manohar Joshi sat on the front row along with Modi, Amit Shah, External Affairs Minister Sushma Swaraj and Shiromani Akali Dal leader Parkash Singh Badal as Kovind filed his papers.
Others present included Telangana Chief Minister K. Chandrasekhar Rao, Tamil Nadu Chief Minister Edappadi K. Palaniswami and Andhra Pradesh Chief Minister N. Chandrababu Naidu.
Naidu said Kovind deserved to become the next President. "Now everyone needs to support his candidature. The opposition will lose," he said.
As he walked to the room of the Returning Officer, Kovind folded his hands to greet his supporters. Earlier, he and Modi joined hands and some BJP leaders raised their hands together to indicate his impending electoral victory.
Kovind is widely expected to sail through the Presidential election.
The NDA, including the Shiv Sena and the PDP of Jammu and Kashmir, commands the support of 48.93 per cent in the electoral college made up of MPs and MLAs.
With the backing of parties outside the alliance like TRS (2 per cent), AIADMK (5.39 per cent), YSR Congress (1.53 per cent) and BJD (2.99 per cent), the NDA's support will cross the half-way-mark to reach nearly 63 per cent. The JD-U (1.91 per cent) is also backing him.
The vote count will take place on July 20. President Pranab Mukherjee's term ends on July 24.
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