Making the announcement after a meeting of the BJP Parliamentary Board, party president Amit Shah said the decision of fielding 65-year-old Bedi was "unanimous".
He said BJP will contest the crucial polls for the 70-member Assembly under Bedi's leadership.
She will contest from the Krishna Nagar seat in East Delhi, considered a BJP stronghold.
The Parliamentary Board meeting was attended by Prime Minister Narendra Modi, Home Minister Rajnath Singh, Finance Minister Arun Jaitley, External Affairs Minister Sushma Swaraj among others.