Earlier in the day, a division bench of acting Chief Justice Nishita Mhatre and Justice Tapabrata Chakraborty asked the Cagency to complete its inquiry in three days.
On Friday, the Calcutta High Court directed the CBI to probe the Narada sting case.
The video caught TMC MPs Saugata Roy, Suvendu Adhikari, Sultan Ahmed, Aparupa Poddar, Kakoli Ghosh Dastidar and Prasun Banerjee, state ministers Subrata Mukherjee, Firhad Hakim, Madan Mitra, Kolkata Mayor Sovan Chatterjee, MLA Iqbal Ahmed and senior IPS officer SMH Mirza allegedly accepting bribe.
During April 2016, the Calcutta High Court had constituted a three-member commission to investigate the controversial video tapes.
West Bengal Chief Minister Mamata Banerjee said she will appeal against the court order in a "higher judiciary".
Narada News had alleged it had many ministers and lawmakers accepting bribe that ranges from Rs 5 lakh to Rs 20 lakh for favours to a fictitious company, Impex Consultancy.
The ruling party Trinamool Congress had dismissed the authenticity of tapes by calling it "doctored".
Within hours of the court verdict, a furious Banerjee told the media that the state government and Trinamool will move the Supreme Court "for justice". The bench also termed the state police as puppet and said that the society demands proper probe on the matter. The sting operation was made public just prior to the Bengal assembly elections past year on March 14. But the police also registered a case for forgery against Mathew Samuel of Narada News who had made the sting tapes public.
BJP National Secretary Rahul Sinha said: "This order is a victory of the fight against corruption", he said.
Meanwhile, Opposition parties welcomed the Calcutta High Court order.