Newly issued figures show a third of News Corporation investors voted against James and Lachlan Murdoch being re-elected to the board on Friday.
Almost 35% voted against James Murdoch, who is the company's deputy chief operating officer, while 34% voted against his brother.
The vote is seen as a rebuke over News Corp's handling of the phone-hacking scandal at the News of the World.
News Corp chairman Rupert Murdoch received 14% of "no" votes.
However, the BBC reports that despite the level of shareholder dissatisfaction, all 15 nominees to the board were re-elected.
The phone-hacking scandal in Britain led to the News of the World being closed.