While stating that his relationship with the complainant woman was consensual, the application also says that her claim to have never drunk liquor can't be true because she worked in the advertising industry.
His lawyer Mahesh Vaswani said the plea will come up for hearing on May 4.
Tiwari was arrested in May, 2014, in the case and was granted bail a month later.
In the application, he says the complainant's allegations in her written statement to the police and those in the subsequent first information report (FIR) vary.
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His relationship with her was consensual, it adds.
The application also says the allegation he made a video clip of the victim and threatened to make it public is false as he is a reputed singer and a music director.
The complainant, allegedly Tiwari's one-time girlfriend, has alleged that he raped her repeatedly between October 2012 and December 2013 after promising to marry her but did not keep the promise.
The 24-year-old singer is known for the hit song 'Sun Raha Hai Na' from the film "Aashiqui 2".
Last week, the court had issued a non-bailable warrant against him for non-appearance. The court today stayed the NBW but said Tiwari must remain present the next time.