Fire chief Paul Hancock says the thoughts of everyone at Cheshire Fire and Rescue Service are with those affected by the tragic inferno at the west London tower block.
Several people are known to have died after a huge fire raged through the 24 storey structure during the night.
Firefighters are still tackling the blaze at Grenfell Tower in north Kensington, where eyewitnesses said people were trapped inside, screaming for help.
More than 50 people are being treated in hospital, says London Ambulance.
Mr Hancock, who is joint fire chief of Cumbria Fire Service, tweeted: “Thoughts of everyone from @CheshireFire & @CumbriaFire with @LFBCommissioner & @LondonFire & all those involved in the major fire.”
Cheshire chief constable Simon Byrne wrote: “This is an awful incident. Thinking of those affected & trying to deal with this.”
The official Cheshire Fire and Rescue Service account tweeted: “Our thoughts are with everyone affected by the #GreenfellTower fire in #NorthKensington, including our colleagues in the emergency services.”
Reporters at the scene say there are fears the building might collapse.
Eyewitnesses said they saw lights – thought to be mobile phones or torches – flashing at the top of the block of flats and trapped residents coming to their windows, some holding children from windows.
More than 200 firefighters have been tackling the blaze.
London Fire Commissioner Dany Cotton said there had been ‘a number of fatalities’ but she could not say how many because of the ‘size and complexity’ of the building.
“This is an unprecedented incident,” she said. ”In my 29 years of being a firefighter, I have never ever seen anything of this scale.”
She said the cause was not yet known.
The Met Police has set up an emergency number on 0800 0961 233 for anyone concerned about friends or family.