Dermot Gleeson, chairman of Allied Irish, ducked to avoid the missiles after addressing an extraordinary general meeting at its Dublin HQ.
Pensioner Gary Keogh said he felt compelled to throw the eggs after Mr Gleeson tried to speak over another shareholder.
Mr Keogh, from Blackrock in south Dublin, was removed from the building.
He said he was extremely angry after losing his pension in the economic downturn.
"The whole board should be replaced by Mickey Mouse and Donald Duck," he added.
"I have no pension. My pension now is wiped out because of AIB. I cannot sell the shares because they are useless.
"If we didn't live in a tolerant society, the chairman and the rest of the board would be hanging by their necks with piano wire out on the road."
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