Exmoor Search and Rescue were called out by Avon and Somerset Police just before midnight to help them in their search for a missing person East of Welllington.
Four teams searched the woods and fields on foot and found the body of man.
The family of a missing person has been made aware, Avon and Somerset Police have said.
There are not believed to be any suspicious circumstances.
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A spokesperson for Avon and Somerset Police said: “The body of a man was found by Exmoor Search and Rescue near Langford Budville at about 1.10am on Monday (6 October) while they were supporting a police investigation.
“The family of a missing man have been made aware.
“There are not believed to be any suspicious circumstances, and a file will be prepared for the coroner.”
In a Facebook post, Exmoor Search and Rescue said: “Our thoughts are with their family and friends.”