Experimental results show that, in Fe-Ni alloys, the M, or M//b values decrease in two steps with the decrease in quenching temperature below 950 degree C with a definite grain size of the parent phase. In the first step, i. e. , with the quenching temperature at around 800 degree C, a minimum M//s value appears; and in the second one, i. e. , at below 700 degree C quenching, M//s decreases continuously. The burst size of martensite transformation corresponding to the lower quenching temperatures is rather smaller than that corresponding to the higher ones. These phenomena prove to be related to the ordering of the parent phase. The observation of densely-dispersed minute precipitates and superlattice dislocaions by TEM confirms the view that ordering does exist in bulk specimens and markedly affect the martensitic transformation of Fe-Ni alloys.