A camshaft has at least two completely machined individual cams fixedly mounted on a shaft in predetermined angular positions. The shaft includes an outside shaft and an inside shaft arranged concentrically in the former, and is to be manufactured in such a way that remachining of the joined camshaft is not necessary. This is by combining the individual cams even before they are mounted on a shaft and joining them to this shaft to form a machining module, such that the individual cams are combined in their mutual arrangement in relation to one another in which the cams are to be mounted on the finished camshaft. The final machining of the cams is performed within this machining nodule. When the cams are completely machined in this way, the cams are joined to the shaft of the camshaft within the machining module. This ensures that the desired mutual arrangement is maintained, i.e., that remachining is not necessary.