The invention proposes a process for producing components (10) or semi-finished products which contain intermetallic titanium aluminide alloys, which includes the following process steps: rough contouring of a plurality of plate-like bodies (11) so as to correspond to a desired final shape of the component (10) or semi-finished product, some of these plate-like bodies or all the plate-like bodies consisting of titanium aluminide alloys; carrying out surface-to-surface joins between the plurality of plate-like bodies (11) stacked on top of one another so as to form an overall body (10); and forming the desired final shape of the overall body (10). The invention also concerns a component, in particular for jet engines, which is produced using this process.