The agency arrested Hansdah, MP from Mayurbhanj in Odisha, along with Subarna Naik--former MLA of BJD and Hitesh Kumar Bagartti--former BJP MLA in connection with the scam.
The trio were alleged to be founder directors of Nabadiganta Capital Services which ran the chit fund through which thousands of investors were allegedly duped.
CBI sources said the three politicians have been arrested by its Special Investigation Team for alleged criminal conspiracy, cheating and diversion of funds.
Nabadiganta Capital Services is one of the 44 companies under the scanner of the investigating agency for its alleged involvement in the multi-crore chit fund scam in Odisha.
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The politicians had claimed that they had resigned from the firm as directors in 2012, but the resignations were accepted only last year.
While the trio had pleaded innocence and alleged that they had been framed by the ponzi company, the Nabadiganta CMD had told reporters, "The leaders are not children who can be framed. I have submitted all evidence to the CBI relating to their involvement in the company affairs."