On its Facebook page, Axminster Fire Station said it had received several calls between 03:51 and 05:30 BST to flooding rescues.
It said a crew was called out to Weycroft Bridge after a van became stuck in “fast flowing” flood water.
The fire station added: “Unfortunately, while crews were conducting a rescue on the occupant, a second vehicle entered the flood water and after floating came to rest at the rear of the initial vehicle.
“Crews then recommitted to the flood water to walk the second person to safety.”
It said police had closed the road due to the flooding and the vehicles stuck in the water.
