Based on the method of energy equipartition the temperature and stress distribution of the composite ceramic Nd∶YAG laser slab with stepwise gradient dopant concentrations for high power laser diode(LD) end-pumping is proposed by theoretical analysis and simulation. Using the composite slab with stepwise gradient dopant concentrations, high pump absorption efficiency and intensity uniformity in slab lasers can be separately achieved, which would lead to smaller thermal induced stress. It resolves the contradiction between the pumping efficiency and the homogeneity of pumping absorbed power.