The restrictions will come into effect from Friday and initially last until 3 December.
It comes soon after an announcement that Denmark would cull all its mink – as many as 17 million.
The Scandinavian country is the world’s biggest producer of mink fur and its main export markets are China and Hong Kong. Culling began late last month, after many mink cases were detected.
On Thursday, the World Health Organization said mink appear to be “good reservoirs” of coronavirus. It also commended Denmark’s “determination and courage” for going ahead with the culls, despite the economic impact it would bring.