The resignations from the board, made up entirely of men, comes a day after an explosive New York Times article.
FBI Director Christopher Wray, who replaced fired former Director James Comey, said the bureau must embrace change.
A data breach at the credit monitoring company had exposed the private information of some 143 million Americans.
She's been serving as interim director since Anthony Scaramucci was fired from the job in July.
They wanted to serve the country they call home, but the president might not let them.