An imperfectly B-2 ordered Fe3Al aggregate was cast, thermomechanically hot rolled and finally annealed at 870 K. Subsequently, the specimen was rolled at 800-830 K to a strain epsilon of 80%. The microstructure and the crystallographic texture of the rolled polycrystalline sample was investigated with in the range epsilon=20-80%. the microstructure consisted of flat, elongated grains. In numerous grains straight slip lines were detected. Even after epsilon=80% recrystallization was not observed. The rolling texture of Fe3Al considerably deviates from that of non-ordered body centered cubic (b.c.c.) alloys and pure b.c.c. metals. The {111}[uvw] texture fibre (gamma-fibre) was very pronounced, while the {hkl}[110] fibre (alpha-fibre) was very weak. The {112}[110] orientation which represents the strongest texture component in non-ordered b.c.c. alloys did not occur at all. The textures are discussed in terms of the {110}[111], {112}[111], {112}[111] and {123}[111] slip systems. The contribution of crystallographic slip of the various types of potential slip systems was simulated by means of the Taylor theory.