A fuel line of a turbo-machine having a conical screw connection, wherein the conical screw connection has at least one screw socket into which a sealing cone having a sealing cone surface and a sealing cone face of a screw connection body connected thereto is interlockingly inserted, and screw socket and screw connection body are directly or indirectly screwed to each other, wherein the sealing cone has a metallic, flat sealing element which is received in a receptacle of the sealing cone surface, wherein the flat sealing element is a metal which is softer than the material of the sealing cone.