National Bank, City Bank and Premier Bank have failed to comply with the central bank's directive to bring down the number of directors from the same family to a maximum of two.
The central bank last week asked four private banks to cut the number down of such directors in seven days, the deadline of which expired yesterday.
Only First Security Islami Bank complied with the directive within the deadline, according to Bangladesh Bank.
The three other banks sought one to three more months to comply with the directive, but the regulator extended the deadline till October 30, a BB official said.
National Bank has five directors from a family, including its Chairman Zainul Haque Sikder.
City Bank has nine directors from two families: five from its Chairman Rubel Aziz's family and four from Director Deen Mohammad's family. Four directors of Premier Bank come from the family of its Chairman HBM Iqbal.