Button was dismissed in the 25th minute following a challenge on Bantams striker Nahki Wells, and Brentford went on to lose the game 4-0.
The former Tottenham and Charlton keeper must therefore serve a three-match ban starting at Tranmere on Saturday.
He will also miss the London derby at home to his old club Leyton Orient and the away game with Coventry at the end of the month.
- Sports & Recreation
- Nahki Wells