Volkswagen AG, Daimler AG and BMW AG each fell in Frankfurt.
Trump’s tweet came hours after the EU imposed tariffs on about $3.3 billion of American products in response to his barriers to imported aluminium and steel.
The European tariffs target politically resonant products, including 25 per cent duties on Harley-Davidson Inc. motorcycles, Levi Strauss & Co. jeans and bourbon whiskey. The EU measures cover a total of around 200 categories in total, also including various types of corn, rice, orange juice, cigarettes, cigars, t-shirts, cosmetics, boats and steel.