Modi termed the bill's passage in Lok Sabha "a golden moment of India's Parliamentary journey."
The legislation is widely expected to get approval from the Upper House. It will then require the approval of a majority of state assemblies.
60 lawmakers participated in the eight-hour-long debate, 27 of them women.
The Congress scion also called for the bill's immediate implementation and flayed the government for linking it with the delimitation process.
NCP leader Supriya Sule also demanded discussions be held on Maratha, Dhangar, Lingayat and Muslim reservation.
Irani read out provisions of the Constitution regarding census and delimitation to drive home the point that it was necessary to include in the bill.
AAP MP Sanjay Singh termed the current version of the bill as "Mahila Bewakoof Banao Bill" and urged the Centre to remove the time limit clause and implement it in 2024.
The prime minister said the bill is being taken as the first proceeding of the House and that it will open gateways for women in power.
The Women’s Reservation Bill will be tabled for discussion and passing.
Taking a swipe at the Narendra Modi-led government, leader of opposition in the Rajya Sabha Mallikarjun Kharge wondered what’s the point of changing names when nothing else changes.
Om Birla also expressed hope that all members will enter the new Parliament House with renewed hopes and expectations.
Although there’s no official government briefing, it’s reported that the cabinet had a comprehensive discussion on the bill.
Referring to RS Chairman Jagdeep Dhankhar and LS Speaker Om Birla, PM Modi made a suggestion for giving a new name to the old parliament building which has seen history being made.
Ever since it was announced that the Parliament session would be held from September 18-22, there has been speculation on various bills, including the women's reservation bill.
Congress general secretary Jairam Ramesh said Bills introduced/passed in Rajya Sabha do not lapse and the Women's Reservation Bill is still very much active.
The bill seeks to replace the Chief Justice of India with a cabinet minister in the panel for selection of the chief election commissioner and election commissioners.
Congress leader Manish Tewari said the ruling party should not refrain from bringing even the most difficult issue to the House.
Rajya Sabha will meet at 2:15 pm in the Upper House chamber of the new Parliament building, while Lok Sabha will meet at 1:15 PM in the Lower House chamber of the newly constructed complex.
The Congress leader also highlighted many portions of speeches by opposition members had been expunged from Lok Sabha records in the past.
Modi said it is also an occasion to hail everyone who have led this House and shared their vision for India, ranging from Pandit Nehru to Vajpayee.