The fixture was due to start at 14:00 GMT but despite attempts to clear the pitch the game was called off at 13:10.
“I can’t see how it could go ahead the way the pitch is at the moment,” Burnley manager Sean Dyche said.
“It fell that quick and heavy. It’s still quite strong now. [The pitch] can’t get rid of the snow that quick.”
He added: “As you can see the pitch re-covers every time they clear it. The referee explained the safety angle as well so it was important to make a decision early.
“It’s the lines being cleared as well – we would have to stop and clear them. It’s a joint decision with everyone concerned.
“We were ready for the game and I made it clear if it could be played we wanted it on – as did their manager.”