Huddlestone, who has featured in 27 of Hull's 29 league matches this season will miss fixtures against West Ham, Middlesbrough and Manchester City.
The 30-year-old was dismissed after 73 minutes at Goodison Park when referee Paul Tierney ruled he had fouled Idrissa Gueye; the hosts, 1-0 up at the time, went on to score three and wrap up the points after the red card.
Hull boss Marco Silva said the decision changed the game and that neither the midfielder nor the other Tigers players deserved the sending off.
He said: "It was one game until 70 minutes and then another game. Surely we didn't deserve the decision," he said. "After that [starting the half well] came one decision that I really don't understand and changed all of the game. Our team, our players, didn't deserve this decision."
The club sit 18th in the standings, three points from safety.