A detailed investigation of the mechanism of ordering in a Ni3Fe alloy has been carried out. The microstructure of the alloy in various partially ordered states was characterised on an atomic scale by field‐ion microscopy, and the absence of any two‐phase structure at any time in the reaction suggests that the nucleation and growth ordering mechanism is not operative. The modulations in the local degree of order, which are present during a continuous ordering reaction, were measured as a function of annealing time with a field evaporation technique. It was found that the quenched alloys contained well defined local order modulations which increased in wavelength linearly with annealing time. The “modular ordering” mechanism is introduced and shown to be in accord with this behaviour.