Viswas strongly denied the allegations that he made remarks against Bedi and said he will quit politics if she can prove the same.
Bedi alleged that the AAP leader made the "derogatory sexist" remarks against her at a recent election rally and said she has already filed a police complaint against Viswas.
"What kind of security and dignity can women expect from AAP's leadership that itself has blatant sexist and perverse mindsets?" Bedi said in a tweet.
Slamming Viswas, Bedi said, "Absolutely derogatory sexist remarks, illegal photoshopped images communicating wrong messaging -- it is unethical, toxic and perverse."
A party delegation comprising Delhi BJP President Satish Upadhyay, Union Minister Nirmala Sitharaman, MP Meenakshi Lekhi and a number of other leaders also filed a complaint with the Election Commission against Vishwas.
"The remarks were very abusive and vulgar. They cannot be used in a civil society. We demanded strong and prompt action against Viswas," Upadhyay said.
Rubbishing the allegations, Viswas said, "I challenge BJP and Kiran Bedi to show the video where I made the comments. If she can prove the allegations, I will quit politics, else Bedi should quit.
"I am surprised that channels are not showing this video. There were cameras of so many channels. There was an Election Commission camera too," he said.
The AAP leader said BJP was nervous ahead of the polls and that is why so many Union ministers were deployed to campaign.
"Since they do not have any answer on issues of Delhi, they are spreading such rumours and filing FIRs to mislead people. Kiran Bedi is following the ideology of Amit Shah and wants to prove that she is becoming Rahul Gandhi of BJP. She doesn't realise what they are making her do," he said.
The AAP leader said BJP was nervous ahead of the polls and that is why so many Union ministers were deployed to campaign.
“Since they do not have any answer on issues of Delhi, they are spreading such rumours and filing FIRs to mislead people. Kiran Bedi is following the ideology of Amit Shah and wants to prove that she is becoming Rahul Gandhi of BJP. She doesn’t realise what they are making her do,” he said.