Miliband was a non executive director at the club after taking up the role in 2011.
But he has quit now because of the political views of new manager Paolo di Canio, who has in the past called himself a fascist.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.