An assembly of a cylinder head and a fuel injector with an injector tip for an internal combustion engine with at least one combustion chamber, wherein the fuel injector at the end facing a combustion chamber of the internal combustion engine is at least partially surrounded by a heat shield, wherein in the region of the heat shield a heat dissipation device is provided, through which heat can be dissipated from the combustion chamber of the internal combustion engine, wherein the heat shield surrounds the fuel injector as far as the injector tip, wherein the heat shield is designed as a tapering collar towards the injector tip and is integrated into an injector sleeve or into the cylinder head.