At least 64 people have now died in the bomb cyclone - the deadliest US storm for at least two generations.

A further two inches of snow is predicted to fall by the end of Tuesday in Erie County, which includes Buffalo and its 275,000 residents.

"Please, please, do not drive in the city of Buffalo, unless you are emergency personnel," County Executive Mark Poloncarz said during a news conference.

"Too many people are ignoring the ban," he added, describing the storm as "the worst probably in our lifetime".

Mr Poloncarz told reporters: "I have been advised that 100 military police are being brought in as well as additional troops from the New York State Police Department."

They will be situated at entrances to the city and at major intersections, stopping drivers from getting through.

"Please, I'm begging, stay home," Mr Poloncarz added, saying that ensuring access for emergency response vehicles was a major priority.

Buffalo Mayor Byron Brown's office announced seven additional storm-related deaths on Tuesday, bringing the city's total to 27. At least another seven people perished in the suburbs.

Bodies have been found in cars and homes - and some people have died while shovelling snow.

A further four people died in Canada after a bus rolled over on icy roads in British Columbia.

Some people have died because ambulances could not reach them in time to respond to medical emergencies.

A previous blizzard, in 1977, killed as many as 29 people in the region.

Tuesday's snow may be the last, National Weather Service meteorologist Bob Oravec said.

"It'll be warming up soon. By Thursday the high will be 8C. By Saturday it'll be 12C."

President Joe Biden has authorised federal support for New York state, where tens of thousands of people have been left without power.

Some people have been stranded in their cars for more than two days, with emergency services struggling to reach them, Mr Poloncarz said.

Read more:
Life on the road as deep-freeze conditions hit New York State

New York Governor Kathy Hochul has called the storm "one for the ages".

It and another big snowstorm just over a month ago have brought almost as much snow as the area would expect during the whole winter, she added.

At one point, Buffalo was getting between two and three inches of snow an hour.

On Monday, almost 4,000 flights were cancelled, according to the tracking site FlightAware, aggravated by cancellations at Southwest Airlines, 70% of whose flights were not running as scheduled.

Tens of thousands of homes and businesses have been left without power.

Jim Dale, senior meteorologist at British Weather Services, told Sky News: "I was going to say this is a once-in-a-lifetime experience. I think we're probably going to see these kinds of events a little bit more than that.

"In this instance, this is all to do with the dislocation of the Arctic polar vortex. So that means basically polar air channelling southwards.

"We saw it coming before it arrived. But the actual transition in terms of going from what you might call a mild situation to an absolute freeze happened in some states within an hour so you went down from say 10 to 15 degrees down to -20 very quickly."