Creator Richard Fraser writes: "Metallica's lead singer James Hetfield is a big game hunter and promoter. This is incompatible with Glastonbury Festival ideals and brings its good name into disrepute."
There has also been a strong Twitter reaction to what many see as Hetfield's "glorifying" of hunting, despite Alaskan laws siding in favour of the activity as a regulated sport.
@Metallica Love the music, hate the hunting, no more buying music from someone who can't respect life #hetfieldSucks
Sorry James Hetfield, #Metallica will always have my support, but YOU, personally, as a hunter, do not. http://t.co/NkG02IRSMZ
Metallica's James Hefield to narrate a bear hunting doc'??, expect a barrage of thrown hummus at #Glastonbury
I am against 'hunting for fun' obviously. Not convinced there's an argument to remove Metallica from Glasto... http://t.co/gdGrUxIb30
The protest to get Metallica off the Glastonbury lineup because James Hetfield goes hunting is ridiculous
The History Channel, which will host The Hunt, issued the following announcement about their programme: "While getting a bear is no easy task, most hunters still value time-honoured traditions by hunting with bow-and-arrow, black powder single-shot rifles, and/or use the minimum amount of technology possible.
"Honouring the animal is paramount and taught to all hunters who come to the island. Hunters have an ethical and legal responsibility to strive for clean kills that is taken very seriously. There are pages of stringent regulations they must follow that ensure respect for the animal and the land."
As of yet there has been no response statement from Hetfield.
Metallica are due to headline Glastonbury alongside Arcade Fire and Kasabian at the Worthy Farm event later this month.
Drummer Lars Ulrich was "ecstatic" at the booking, with organiser Michael Eavis describing them as "one of the most amazing rock bands in the world".
Metallica have defended themselves from criticism, arguing that "the fact that everybody's got an opinion means people still care".
- Independent