Focusing on the problem of model dissevering from modeling to analysis of functionally gradient material, this paper proposed concurrent modeling and heat conduction analysis both using NURBS basis function, used poison equation as the control function of material field considering manufacture process to model functionally gradient material, solved material distribution with the method of isogeometric analysis, performed the optimization model of material distribution of functionally gradient material part with analyzing of the transient thermal conduction of the material, retrieved the optional result of material distribution by the method of active set. The result shows that the method of concurrent modeling with NURBS basis function of functionally gradient material and material distribution optimizing realized integrated modeling, analyzing and optimizing of gradient material.