He said: "Show of support to firefighters, all shout out to Laura Herdman and all her team currently at Winter Hill, part of Padiham Fire Station, and Lancashire Fire and Rescue Service.
"Show of support to all stations from around the country mobilised to the moors in order to control it, and the military in support. It's hot out never mind in full PPE.
"All those on standby and inbound, thank you for your monumental work. We know you are massively stretched."
She said on her Twitter account: "Slightly surreal when Tom Hardy personally mentions your name in a message of support for myself, my crew at Padiham Fire Station colleagues from Lancashire Fire and Rescue Service and all other services battling the fire at Winter hill."