The 'You Have Killed Me' singer and animal rights activist blasted the British artist - who is famous for works including dead and dissected animals including a shark, sheep and cow kept in formaldehyde - for using the creatures for artwork which has generated him personal gain.
Discussing the artists work with artist Linder Sterling, he said: "I dislike the 'use' of animals in art, such as in the work of Damien Hirst. Do you agree that Hirst's head should be kept in a bag for the way he's utilized-and sold-dead animals?"
The artist replied: "Dead butterflies, cows, horses, humans, sheep, and sharks-it reads like the inventory of a funerary Noah.
"How many halved calves suspended in formaldehyde does the world need? To my way of thinking, none."
Morrissey also claimed the wealth accrued by Damien - reputed to be the world's richest living artist, whose works have sold for over £10 million pounds - "reduces him to mere factory outlet".
The former The Smiths singer is a staunch supporter of animal rights and has previously stormed offstage at the Coachella music festival in the US in as he could smell the fumes from cooking burgers on a nearby stand.
He said:"The smell of burning animals is making me sick. I just couldn't bear it."