It is applicable to those cooperative banks which deal with "bank, banker and banking," she said, adding that as many as 277 urban cooperative banks have reported losses.
Tharoor said the bill is an encroachment on federalism, while Roy claimed it attacks "state rights".
Ruling party members also opposed Roy's personal remarks targeting Sitharaman, with Parliamentary Affairs Minister Pralhad Joshi demanding his apology.
Speaker Om Birla said Roy's comments have been expunged.
The finance minister also introduced the Factoring Regulation (Amendment) Bill, 2020.
SEE ALSO:
It's not just India — Chinese intelligence has its eye on more than 2.4 million individuals across the US, Japan, Canada, Australia, and the UK
India-China border tension will be in focus as the Parliament's Monsoon session begins today
All eyes on Parliament's Monsoon session — the Banking Regulation (Amendment) Bill 2020 may not be on the docket for long
HCL Tech's mid-quarter guidance optimism sparks rally in TCS, Infosys, Wipro, and Tech Mahindra too