Based on the microscopic phase-field model, the evolution of atom morphology of Ni80Al7Cr13 ternary alloy is simulated at 873 K during the aging process. The early stage effect of precipitation is studied and discussed through analysising the changes of microstructure, composition and order parameter with the time. The study shows that the ordering of atom is happened earlier than the clustering of atom in the early time of precipitation, firstly forming the nonstoicheometric L10 ordered domain with very low order parameter, then the order parameter increasing with the increase of the aging time. At the same time, the ordered domain expands toward the nonordered domain, and the nonstoicheometric L10 ordered domain gradually transforms to the nonstoicheometric L12 structure when the order parameter of L10 increases to some degree. At last, the composition and the order parameter of nonstoicheometric L12 ordered domain attain to that of the stoicheometric L12 ordered domain. In the stoicheometric L12 ordered domain, Al priority occupies the αⅠ antisite,Cr priority occupies the αⅡ antisite