Heavy snow has been reported in many areas in the states of Kansas, Missouri, Illinois and Oklahoma, reports Xinhua news agency.
The National Weather Service has issued winter storm warnings and winter weather advisories from portions of Oklahoma and the northern Texas Panhandle to the southern Great Lakes, upstate New York and far northern New England.
Chicago and Detroit are among the metro areas put on the alerts.
Travel is extremely difficult in the storm-hit areas, especially where snow overlaps with strong winds.
Some roads have been closed in the Buffalo region of New York State.