Abstract: Functionally gradient materials(FGM)have complex meso-scopic structure,so it is the main developing direction to investigate the properties of FGM by using the method of meso-scopic mechanics. An analysis on the meso-scopic structure and property of uneven hot-resistant FGM with spheroid inclusions was introduced in this paper.A meso-scopic mechanical model was established. The research includes the damage evolution and failure of FGM.The result was applied to the meso-scopic stress analysis and properties prediction of multi-phase inclusions FGM. For the convenience of engineering application, all result was provided in explicit forms.