The invention relates to a method of producing a composite shaft comprising a shaft body (1), at least one first component (2, 9) connected to the shaft body (1) in a rotationally fixed manner, and at least one second component (3, 8) rotatable relative to the shaft body (1), in which method the at least one first component (2, 9) and the at least one second component (3, 8) are pushed onto the shaft body and assembled in the intended sequence. In order to be able to produce such shafts in a simpler and more cost-effective manner and in order to be able to finish-machine the components connected to the shaft body (1) in a rotationally fixed manner only after the complete assembly of the composite shaft, it is proposed according to the invention that at least the first component (2, 9) connected to the shaft body (1) in a rotationally fixed manner be subjected to a machining operation and that the at least one second component (3, 8) be screened from the at least one first component (2, 9) during this machining in such a way that chips produced during the machining of the first component (2, 9) do not penetrate into the space between the second component (3, 8) and the shaft body (1) or between the second component (3, 8) and a third component (21) connected to the shaft body (1) in a rotationally fixed manner.