The fakes have not passed UK toy safety regulations and have small parts that could be a choking hazard.
Signs of a fake include overly vibrant colours and an incorrect teeth count, with authentic Labubus having exactly nine.
Cllr Alan Hill said retailers should ensure they do not sell the items.
He said: “”It might look like a good deal, but these dolls are usually really poor quality and made with inferior materials and are not made to last at all.
“Not only that, they could also cause a serious accident to young people.”
The word Labubu is the name of a character in toy series the Monsters created by Hong Kong-born artist Kasing Lung.
The toys gained worldwide attention in 2024 after a member of popular K-pop band Blackpink had a keychain Labubu attached to her bag.
Reporting by local democracy journalist Stewart McConnell.