They said the properties, three in Kanpur and one in Ahmedabad, were provisionally attached yesterday.
The department, earlier this week, had attached 14 bank accounts that were in various bank branches in Uttar Pradesh.
These attachment of assets, they said, has been carried out to "recover outstanding tax demands" from the group, understood to be about Rs 85 crore.
The Kanpur-based group is being probed by the CBI and the Enforcement Directorate (ED) in connection with an alleged bank loan fraud of Rs 3,695 crore, given by a consortium of seven banks.
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It was alleged in the complaint from Bank of Baroda that conspirators cheated a consortium of bank loans to the tune of Rs 3,695 crore, including the interest component, CBI officials said. The principal amount involved was Rs 2,919 crore.
The ED subsequently registered a money laundering case against them.
The ED will probe if the allegedly defrauded bank funds were laundered and these proceeds of crime subsequently used by the accused to create illegal assets and black money.
Both left the country before the Punjab National Bank realised the seriousness of the alleged crime.