I want to know the Name of first prime minister of India; will you please tell me the same???????

The first prime minister of India was Jawaharlal Nehru 15 August 1947 – 27 May 1964. Nehru had developed an interest in Indian politics during his time in Britain.

For your reference here I am also giving you the List of Prime Ministers of India:

Jawaharlal Nehru
(1889–1964)
MP for Phulpur

Gulzarilal Nanda
(1898–1998)
MP for Sabarkantha

Lal Bahadur Shastri
(1904–66)
MP for Allahabad

Gulzarilal Nanda
(1898–1998)
MP for Sabarkantha

Indira Gandhi
(1917–84)
MP for Rae Bareli

Morarji Desai
(1896–1995)
MP for Surat

Charan Singh
(1902–87)
MP for Baghpat

Indira Gandhi
(1917–84)
MP for Medak

Rajiv Gandhi
(1944–91)
MP for Amethi

V. P. Singh
(1931–2008)
MP for Fatehpur

Chandra Shekhar
(1927–2007)
MP for Ballia

P. V. Narasimha Rao
(1921–2004)
MP for Nandyal

Atal Bihari Vajpayee
(born 1924)
MP for Lucknow

H. D. Deve Gowda
(born 1933)
MP (Rajya Sabha) for Karnataka

I. K. Gujral
(1919–2012)
MP (Rajya Sabha) for Bihar

Atal Bihari Vajpayee
(born 1924)
MP for Lucknow

Manmohan Singh
(born 1932)
MP (Rajya Sabha) for Assam

Narendra Modi
(born 1950)
MP for Varanasi