The charity said each box would provide enough food for 10 breakfasts across the Christmas holidays.
Labour’s Zarah Sultana raised the matter in Parliament.
“For the first time ever, Unicef, the UN agency responsible for providing humanitarian aid to children, is having to feed working-class kids in the UK," Ms Sultana said.
“But while children go hungry, a wealthy few enjoy obscene riches, from Tory donors handed billions in dodgy contracts to people like the Leader of the House, who is reportedly in line to receive an £800,000 dividend payout this year.
“So will he give government time to discuss the need to make him and his super-rich chums pay their fair share so that we can end the grotesque inequality that scars our society?”