ED initiated an investigation on the basis of FIR registered by Anti Corruption Bureau (ACB), Central Bureau of Investigation (CBI).
Sources in it said that the ED, which is probing the money laundering aspect of the Narada sting operation, had submitted the chargesheet against the five in the special court earlier in the day.
State ministers Subrata Mukherjee and Firhad Hakim, TMC MLA Madan Mitra and former city mayor Sovan Chatterjee appeared before the judge and left the Bankshall court premises after a while.
Imposing conditions, a five-judge bench of the high court directed the four accused persons, who are under house arrest, to furnish bail bonds of Rs 2 lakh each.
Subrata Mukherjee went to Presidency Correctional Home, where he was lodged before being admitted to the SSKM Hospital, to complete formalities.
Narada sting case: SC allows CBI to withdraw appeal against HC order allowing house arrest of Trinamool leaders
The court took note of the fact that a five-judge bench of the Calcutta High Court is already hearing the matter and permitted the probe agency to raise all the grievances there in the high court.
It heard the CBI plea for transfer of the case from lower court to high court, and applications filed by the accused for recall of the stay order the high court had given on a lower court ruling.
Narada case: Firhad Hakim returns home after HC orders house arrest, three others to remain in hospital due to ill health
Hakim, the state's transport minister and chairman of the board of administrators of the KMC, came back to his Chetla residence in the evening, amid tight security.
The judges of the division bench directed that the leaders, placed under judicial remand so far, will remain in house confinement for now.
The TMC supremo also said that she has full faith in the country's judiciary, and was absolutely certain that justice will be served in the case.
Narada case: Arrested Trinamool leaders to stay in jail; Governor raps Mamata government over protests in front of Raj Bhavan
The four leaders were arrested on Monday morning from their residences in the city in connection with the Narada sting case that is being investigated by the CBI on an order by the high court.
Counsels appearing for ministers Subrata Mukherjee and Firhad Hakim, MLA Madan Mitra and Sovan Chatterjee mentioned the matter before a division bench.
Senior journalist Mathew Samuel said that steps against corruption are needed and investigations should be fair.
TMC party supporters raised slogans against the BJP- led NDA government, and hurled stones and bricks at security personnel outside Nizam Palace, which houses the CBI regional office there.
The Narada sting tapes showed people resembling TMC ministers, MPs and MLAs receiving money from representatives of a fictitious company in lieu of promised favours.