To improve the range of application of manufacturing methods for fiber-reinforced polymer or metal hybrid composite components, and preferably to enable the introduction of fiber bundles into a larger number of geometries, such as branches, merging points and intersections, a production method for producing a component including a composite material with a fiber reinforcement which is formed from fiber bundles and resin is disclosed. A component body with tube-like cavities is initially provided. Curable resin is introduced into the cavities. A pulling apparatus for the fiber bundles is also inserted into at least one of the cavities. The pulling apparatus includes at least one pulling member suitable for pulling the fiber bundles and transmitting compressive force. As a result of pulling of the pulling member, the fiber bundles are pulled into the cavities.