The sides were due to meet in a fourth-versus-second televised clash, but referee Keith Stroud took the decision to call the game off.
Another League One clash, Shrewsbury's home meeting with Oldham, quickly followed the Sheffield postponement, with the home side confirming on their website that snow had taken a hold.
Elsewhere in South Yorkshire, the race meeting at Doncaster was abandoned for the same reason.
The fixture was due to feature the first major event of the Flat season, the William Hill Lincoln, but clerk of the course Roderick Duncan called off the card following a 6am inspection.
The meeting at Newbury was the next to go, with the fixture abandoned because of snow.
Source: PA
Source: PA