Fine structures of the austenite in an ausaged Fe-28.9Ni-5.7A1 (mass%) alloy have been examined by means of conventional and high resolution transmission electron microscopy and electron diffraction. The ageing treatment was carried out at various temperatures in the range between 673 and 923K for up to 2.88Ms, which gave rise to complicated changes in the martensite-start temperature, Ms, of the alloy. Upon ageing, typically at 823K, the austenite exhibited characteristic fine structures. That is, the conventional transmission electron micrographs showed striations in them and the corresponding electron diffraction patterns did extra reflections other than the fundamental austenite ones and <011>* diffuse streaks. Detailed observations suggested that these fine structures were due to the formation of coherent precipitates with a Ll0 type ordered structure during ausageing, not with the Ll2 or D03 type one previously reported. Fine structures were also observed in the grown precipitates themselves on the later stage of ageing, and they were accounted for by the Ll0 type ordered structure. The relation between the complicated variations in Ms and the microstructural change of austenite upon ausageing was well explained.