In Tennessee, the severe weather killed at least three people, Dean Flener, spokesman for the state's Emergency Management Agency, said in comments carried by the Post.
At least one person was killed and five were injured when a tornado shredded the roof of a nursing home in Monette in northern Arkansas, the Post quoted local officials as saying.
In Illinois, authorities said many people were trapped after a roof partially collapsed at an Amazon.com Inc warehouse near St. Louis late on Friday, after tornadoes and strong storms blew through the area.
Beshear, who declared a state of emergency in his state, was quoted as saying the damage would be "some of the worst ... we’ve seen in a long time".
The storms caused a CSX company freight train to derail in western Kentucky, although it said no injuries were reported, the Times said.
Bill Bunting, operations chief at the Storm Prediction Center, part of the National Weather Service, said at least five states were hit by the tornadoes, naming them as Illinois, Kentucky, Tennessee, Missouri and Arkansas, the Times reported.