In her complaint, Lamba has alleged that Binny, the Lakshmi Nagar MLA, had falsely alleged on social media that she was running a sex racket at her house.
"Binny posted a comment on his social networking account that in a police raid at my house, two girls were arrested for sex trade," the AAP leader alleged.
Lamba, who joined AAP in December last year, said that Binny was trying to defame her by making false allegations.
Based on her allegations, Cyber Cell has registered an FIR against Binny under Section 66A (sending offensive messages through communication service) of IT ACT and Sections 354D (stalking) and 509 (word, gesture or act intended to insult the modesty of a woman) of IPC.
"I will fight for justice till my last breath. Binny and 37 persons, who belong to a particular party, were continuously making derogatory remarks against me (on social media)," Lamba said.
She last night lodged a written complaint against Binny and the others at Kotla Mubarkpur police station.
"We are investigating the allegations and will soon interrogate Binny," said a senior police officer.
Binny, however, refuted the allegations and said somebody had created a fake account in his name with an intention to malign him.
"Two months back, I reported the matter to the police commissioner, Crime Branch and local police. I have nothing to do with the case. I am being framed by Lamba," Binny said.