The invention relates to a method for producing components with a high load capacity from + TiAl alloys, especially for producing components for aircraft engines or stationary gas turbines. According to this method, enclosed TiAl blanks of globular structure are preformed by isothermal primary forming in the +- or phase area. The preforms are then shaped out into components with a predeterminable contour by means of at least one isothermal secondary forming process, with dynamic recrystallization in the +- or phase area. The microstructure is adjusted by solution annealing the components in the phase area and then cooling them off rapidly.