Andy Beshear said the figure could rise to as many as 100 in what he called the worst tornadoes in the state's history.
He said the number was "probably closer to somewhere between 70 and 100, it's devastating".
Tornadoes are wreaking havoc across several US states, with workers trapped in an Amazon warehouse in Illinois.
More than 100 people were inside a candle factory in Mayfield, Kentucky, when the tornado hit, the New York Times reported.
"We believe we'll lose at least dozens of those individuals," Mr Beshear said.
The Amazon warehouse in Edwardsville in southern Illinois was damaged during a tornado on Friday night, the authorities said.
irst responders surround a damaged Amazon Distribution Center on December 10, 2021 in Edwardsville, Illinois.
IMAGE SOURCE,GETTY IMAGES
Image caption,
Emergency services have called the Amazon collapse a "mass casualty incident"
It is not yet clear how many people were hurt by the roof collapse, but local emergency services have called it a "mass casualty incident" on Facebook.
Sarah Bierman said her partner was still missing.
"I talked to him about 8 o'clock tonight, a little before I texted him, and he was returning to the warehouse to drop his van off. And I haven't heard from him since," she told the Reuters news agency.
"I decided to come down here to see what was going on. I had no idea the building looked that bad. And I'm just ... I'm worried sick. I just want to know if he's okay," she added.
"My prayers are with the people of Edwardsville tonight, and I've reached out to the mayor to provide any needed state resources," Illinois Governor JB Pritzker tweeted.
Amazon was assessing the situation and damage, a spokesperson said in a statement.
A state of emergency has been announced in Kentucky.
Police said the tornado caused "significant damage" across the western parts of the state. A train was derailed during extreme winds in Hopkins County, Sheriff Matt Sanderson told WKYT-TV.
He also described how two children were reported missing during a tornado but were then found in a bathtub that had been pulled outside by the force of the wind.
"There were two children in the Barnsley area that were missing and they were actually found in a bathtub not where the house was originally standing," he said.
In Arkansas, one person died and 20 people were trapped inside in a nursing home after it partly collapsed, Craighead county judge Marvin Day told the Associated Press.
The building was cleared around 90 minutes later but searches are continuing, he said, adding that some residents had been hiding in the basement as the tornado approached.
The US National Weather Service has issued tornado warnings for areas in states including Arkansas, Tennessee, Missouri and Illinois.
Andy Beshear said the figure could rise to as many as 100 in what he called the worst tornadoes in the state's history.
He said the number was "probably closer to somewhere between 70 and 100, it's devastating".
Tornadoes are wreaking havoc across several US states, with workers trapped in an Amazon warehouse in Illinois.
More than 100 people were inside a candle factory in Mayfield, Kentucky, when the tornado hit, the New York Times reported.
"We believe we'll lose at least dozens of those individuals," Mr Beshear said.
The Amazon warehouse in Edwardsville in southern Illinois was damaged during a tornado on Friday night, the authorities said.
irst responders surround a damaged Amazon Distribution Center on December 10, 2021 in Edwardsville, Illinois.
IMAGE SOURCE,GETTY IMAGES
Image caption,
Emergency services have called the Amazon collapse a "mass casualty incident"
It is not yet clear how many people were hurt by the roof collapse, but local emergency services have called it a "mass casualty incident" on Facebook.
Sarah Bierman said her partner was still missing.
"I talked to him about 8 o'clock tonight, a little before I texted him, and he was returning to the warehouse to drop his van off. And I haven't heard from him since," she told the Reuters news agency.
"I decided to come down here to see what was going on. I had no idea the building looked that bad. And I'm just ... I'm worried sick. I just want to know if he's okay," she added.
"My prayers are with the people of Edwardsville tonight, and I've reached out to the mayor to provide any needed state resources," Illinois Governor JB Pritzker tweeted.
Amazon was assessing the situation and damage, a spokesperson said in a statement.
A state of emergency has been announced in Kentucky.
Police said the tornado caused "significant damage" across the western parts of the state. A train was derailed during extreme winds in Hopkins County, Sheriff Matt Sanderson told WKYT-TV.
He also described how two children were reported missing during a tornado but were then found in a bathtub that had been pulled outside by the force of the wind.
"There were two children in the Barnsley area that were missing and they were actually found in a bathtub not where the house was originally standing," he said.
In Arkansas, one person died and 20 people were trapped inside in a nursing home after it partly collapsed, Craighead county judge Marvin Day told the Associated Press.
The building was cleared around 90 minutes later but searches are continuing, he said, adding that some residents had been hiding in the basement as the tornado approached.
The US National Weather Service has issued tornado warnings for areas in states including Arkansas, Tennessee, Missouri and Illinois.
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