The report said the administration had closed the tanneries and disconnected water and electricity supply to the units.
Hearing a public interrest litigation, a Division Bench comprising Chief Justice S S Nijjar and Justice Sanjib Banerjee had directed the state government on December 12 to shut down the illegal tanneries in the areas in compliance with the 1997 order of the Supreme Court.
The High Court had also asked the state government to submit an action taken report.
On Tuesday, the state government also assured the court that it would close down the tanneries if these started functioning again.
The South 24 Parganas administration and the Kolkata police claimed in the report that they had closed down 33 tanneries operating illegally in the areas.
Advocate Amjad Ali, however, moved the plea that the government had not followed the SC orders regarding closure of the illegal tanneries.
The court has asked Ali to appear for a hearing after the Christmas vacation.