Critics have said the film, due for release on April 5, is blatant propaganda and an attempt to woo voters before polls open six days later in India's almost six-week election.
Congress, which hopes to unseat Modi in the vote, said on Monday that screening the movie, PM Narendra Modi, would break election laws and that it should not hit cinema until after voting ends on May 19.
"This is no artistic venture. It is a political venture and that is what we have told the Election Commission and should not be allowed," senior Congress figure and former minister Kapil Sibal told reporters.
The movie relates the Hindu right-wing leader's journey from his childhood days selling tea at a railway station to becoming chief minister of his home state Gujarat and leading his Bharatiya Janata Party (BJP) to a thumping victory against the Congress in 2014 elections.
Under Indian election rules now in effect, the publication of any content deemed as campaign material - including advertisements, films and even social media - requires the election commission's prior approval.
Another election silence law bans all campaign material, even if approved by the commission, 48 hours from the opening of polls.
The commission said they have asked the makers of the Modi film to respond to the Congress's claims. Its producers would have to show that the film is an artistic rather than a political work.
The movie has also become embroiled in another controversy, with two top lyricists publicly denying penning songs for the soundtrack after their names were mentioned in the film poster.
The makers released a two-minute trailer of the film last week saying it is "based on a true story", with Bollywood actor Vivek Oberoi playing Modi through various stages of his life.
The trailer depicts Modi as a child selling tea and his transformation to a young stick-wielding member of Hindu supremacist organisation Rashtriya Swayamsevak Sangh.
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