This was decided a meeting of the Parliamentary Board, the highest decision-making body of the party chaired by BJP chief Rajnath Singh and attended by Modi, L K Advani, Murli Manohar Joshi, Sushma Swaraj and other top leaders.
In a brief address to the media, Rajnath Singh said the NDA allies will also be invited for a meeting on the same day.
Dismissing media speculation, he said no date has been fixed for swearing-in of Modi as the Prime Minister. It will be decided after the Parliamentary Party meeting.
Singh was addressing media along with Modi, L K Advani and other top leaders after over one-hour meeting of Parliamentary Board which adopted a resolution applauding the stewardship of its Prime Ministerial candidate for his "tireless efforts" and "inspirational" leadership.
The resolution said Modi "gave a direction to the campaign with a vision" and also thanked BJP workers along with "social and cultural organisations", an apparent reference to RSS and affiliate groups.
It underlined that India needs a government which is "effectively governed and puts the country on a high growth track and sets highest standards of probity."
The BJP wants to build a country which is "strong, self-respecting and self-reliant", the resolution said.
Commenting on the election results, the Board hailed the verdict given by people. "People have spoken and spoken decisiviely. It is for the first time that a non-Congress government has got mandate on its own to govern."
Varanasi prepares to welcome Modi, security tightened
After the landslide victory in Lok Sabha polls, Narendra Modi arrived in the national capital today to a rousing welcome by thousands of enthusiastic BJP workers and supporters to whom he gave credit for the historic achievement.
The Prime Minister-elect waved victory sign to the cheering crowds of supporters wearing saffron caps and showing BJP flags as he undertook a roadshow from Indira Gandhi International Airport to the party headquarters at Ashoka Road, a distance of about 16 kms. He was received at the airport by a number of senior BJP leaders, including party chief Rajnath Singh.