Method for the production of a composite component by a) provision of a pressing or casting mould with at least one cavity to be opened and a mould dimension A in the closing direction and a mould dimension B perpendicular to the closing direction, b) provision of at least one metal tube in the form of a hollow cylinder as main hollow profile body with a ratio of diameter to wall thickness in the range of 5:1 to 300:1, whose external dimension C is greater by a range of 0.1 to 5% than mould dimension A and whose external dimension D is smaller by a range of 0.1 to 5% than mould dimension B, with the data on C and D based on 90° viewed in the direction of the longitudinal axis of the main hollow profile body, c) provision of at least one supporting element, whose external dimension or external cross-sectional shape congruently corresponds to the internal dimension or the internal cross-sectional shape of the main hollow profile body, d) introduction and positioning of the at least one supporting element inside the at least one main hollow profile body at the sites where the application of plastic will take place outside the main hollow profile body, and fixation thereof, e) insertion of the main hollow profile body containing at least one supporting element into the at least one cavity of the injection mould or compression mould, f) closing of the at least one cavity of the injection mould or compression mould and pressing of the main hollow profile body in the closing direction of the at least one cavity, g) external application of plastic in the form of a melt to the main hollow profile body and deformation of the main hollow profile body by the injection pressure or pressing force, h) cooling of the plastic melt applied to the main hollow profile body in f), and i) removal of the finished composite component from the injection mould. a) provision of a pressing or casting mould with at least one cavity to be opened and a mould dimension A in the closing direction and a mould dimension B perpendicular to the closing direction, b) provision of at least one metal tube in the form of a hollow cylinder as main hollow profile body with a ratio of diameter to wall thickness in the range of 5:1 to 300:1, whose external dimension C is greater by a range of 0.1 to 5% than mould dimension A and whose external dimension D is smaller by a range of 0.1 to 5% than mould dimension B, with the data on C and D based on 90° viewed in the direction of the longitudinal axis of the main hollow profile body, c) provision of at least one supporting element, whose external dimension or external cross-sectional shape congruently corresponds to the internal dimension or the internal cross-sectional shape of the main hollow profile body, d) introduction and positioning of the at least one supporting element inside the at least one main hollow profile body at the sites where the application of plastic will take place outside the main hollow profile body, and fixation thereof, e) insertion of the main hollow profile body containing at least one supporting element into the at least one cavity of the injection mould or compression mould, f) closing of the at least one cavity of the injection mould or compression mould and pressing of the main hollow profile body in the closing direction of the at least one cavity, g) external application of plastic in the form of a melt to the main hollow profile body and deformation of the main hollow profile body by the injection pressure or pressing force, h) cooling of the plastic melt applied to the main hollow profile body in f), and i) removal of the finished composite component from the injection mould.