The Football Association confirmed the punishment on Thursday, after taking a dim view of Bruce's criticism of referee Michael Oliver following the match at White Hart Lane on October 27.
An FA statement read: "Hull City manager Steve Bruce has been fined £10,000 and warned as to his future conduct for post-match media comments he made which beached FA Rules.
"The charge, which Bruce admitted, was that his comments made after Hull's match at Tottenham Hotspur on 27 October 2013 called into question the integrity of the match referee, and/or implied that the match referee was motivated by bias; and/or brought the game into disrepute."
Bruce was furious at the decision to award Spurs a late penalty after Ahmed Elmohamady was harshly ruled to have handled the ball in the area, the manager branding the decision "a joke".
Bruce added: ''It is the same old thing. He's ballsed it up. If my player made a decision like that I wouldn't be playing him next week and if I kept making decisions like that I would get the sack.
"It is not right, not for the stakes we are playing for - a big game, at White Hart Lane and he has robbed the players of a well-earned point."