Kumar, 36, was produced before a magisterial court in Rohini here, which sent him to police custody till tomorrow on a Delhi Police plea for remand to quiz him in the case.
The former minister was arrested yesterday night after a woman approached Sultanpuri police station in north Delhi with a complaint of sexual harassment against the former social welfare and women and child development minister following which a case was filed.
In her complaint, the woman alleged that around 11 months ago she was raped by Kumar when she had gone to his office in Outer Delhi's Sultanpuri seeking help to obtain a ration card.
She alleged that Kumar had offered her a spiked drink and when she fell unconscious, she was taken to his house adjacent to the office and raped.
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Kumar was removed from the AAP government on August 31 by Chief Minister Arvind Kejriwal after the CD purportedly showing him in a compromising position with the woman surfaced.
The MLA from Sultanpur Majra had surrendered before the investigators at the office of DCP (Outer) in Pitampura where his statement was recorded, police officials had said.
Soon after the controversy, the MLA had defended himself, saying he has been targeted.
Kumar's wife has also come out in support of her husband, claiming that he was "falsely implicated" in the scandal.