United defeated Manchester City 2-1 to win the Cup on Saturday.
On his staff, Ten Hag said: "We did some special things (in the dressing room).(The) coaches were great and the staff produced some emotional videos, the emotion went into their minds.
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"The videos fired the players' bodies and it helped that we were such a team."
On the fans, he said: "I am proud as well, firstly of the players and the staff. The fans for the whole season, I remember at Crystal Palace a few weeks ago we were bad and they still backed us, they are incredible. I said after Brighton last week we have the best fans in the world."