It would give Bangladesh Bank broad powers over Grameen that are similar to its authority over regular banks, which is aimed at ensuring that lenders operate in accordance with the law and don't take excessive financial risks. Currently, Grameen has a special status under its 1983 founding ordinance.
The law permits Grameen to increase its capital and restricts the tenure of the bank's directors to three years from the current indefinite period.
The government will have 25 percent of the bank's shares while 75 percent would be owned by borrowers as before.
Yunus has had frosty relations with Hasina, the Bangladeshi prime minister, and his supporters say the charges of breaching laws against him are politically motivated.
Last month, the government accused Yunus of evading tax on overseas income, including from book royalties, speeches at conferences and numerous awards. Yunus says he has always acted lawfully.