Bitter cold will continue through Tuesday, the National Weather Service in North Platte said, with wind-chill values as low as -30 degrees.
Steady north winds of 10-15 miles an hour will continue all the way into Monday, when gusts could reach 30 miles an hour, the weather service said.
The Arctic blast is originating near the North Pole.
The temperature will dip to 10-below overnight Sunday, and the dangerous cold will last into Monday night across western and north central Nebraska, the weather service says.
The weather service said the coldest wind chill readings could reach 40 below in northern Nebraska.
The thermometer temperature will reach the mid-teens on Monday and warm to 40 degrees on Tuesday, forecasters said Sunday.