A drive shaft, in particular a radial shaft for a gas-turbine engine, includes a metallic and hollow shaft shank 1 with load transfer elements 2, 10, 11 integrally formed onto its ends. The shaft shank 1 includes a metal tube 3, 9 prefabricated as a semi-finished part, designed only for transmission of torsional loads and having a constant wall thickness. An outer or inner reinforcement 5, 8 intended only for ensuring the necessary bending stiffness is provided on the outer and/or inner circumferential surface of the metal tube 3, 9 and made from a fiber-composite layer 13, 13′ with fibers oriented in the longitudinal direction of the drive shaft. The inner fiber-composite layer 13 acting as outer reinforcement 5 is sheathed with an outer fiber-composite layer 14 made from fibers oriented at an angle of 60° to 90° relative to the longitudinal direction.