The match referee decided the pitch at Gresty Road was unplayable after a 10am pitch inspection.
The playing surface had spent two days under snow as England was gripped by freezing temperatures and bad weather.
United's match was one of three League One games to fall victim to the weather - with Port Vale v Cheltenham and Rotherham v Blackpool also off.
Weekend games which have been postponed
Championship: Luton v Norwich
League One: Crewe v Scunthorpe
League One: Port Vale v Cheltenham
League One: Rotherham v Blackpool
League Two: Chester v Hereford United
League Two: MK Dons v Macclesfield
League Two: Rochdale v Swindon
League Two: Shrewsbury Town v Bury