Thousands of flights have been cancelled in the US and Canada, as it continues to experience a ‘polar freeze’, with temperatures set to plummet further.

More than 7,741 flights were delayed and 3,483 were cancelled in the US on Sunday, according to Flightaware.com, a website tracking air travel.

It is a similar picture today, with 3,654 flights cancelled and 8,467 delays throughout the course of the day, according to Flightaware.com data.

Chicago O'Hare airport – the second busiest airport in the US-  has been one of the hardest hit, with over 300 cancelled flights today.

About 1,300 flights were cancelled at O'Hare and Midway international airports on Sunday when nearly a foot of snow fell in the city.

According to the US National Weather Service, the bitterly cold, arctic air mass will continue to bring dangerously-low temperatures and wind chill values across the central and eastern US on Monday, with several locations approaching or exceeding record lows.

"The coldest temperatures in almost two decades will spread into the northern and central US today behind an arctic cold front," the US National Weather Service said on Sunday.

“A strong front along the Eastern Seaboard will move out over the Western Atlantic by Monday evening.  The storm will produce light to moderate rain over parts of the Northern Mid-Atlantic into New England tapering off by Monday evening.  Before the precipitation ends, the rain will change over to snow over New England and coastal Mid-Atlantic,” the US National Weather Service said in its latest statement.

Passengers are advised to check with their airline before travelling to the airport.

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