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.