Referee Stephen Martin, who was due to take charge of the match, inspected the Griffin Park playing surface at 10am on Saturday morning and decided that it was not playable.
With the Bees and fellow title rivals Wolves out of action this weekend it means Leyton Orient can replace Mark Warburton's side at the top of the table if they win at home against Peterborough.
A new date for the Crawley game will be announced in due course.
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