The stands at Valley Parade and the surrounding areas were deemed unsafe after West Yorkshire was hit by adverse weather conditions.
A statement on the Bantams' website said: "The pitch, which has been covered since Wednesday, remains in good condition.
"However, the amount of snow that has already fallen and drifted into the stands makes the situation potentially dangerous.
"With the forecast for more heavy snow over the next 24 hours, after taking advice from the club and local agencies, the Football League have taken the decision to postpone the game."
No new date for the game has been announced.