Non-repeated homogeneous functions are a class of special Boolean functions. They are very important in constructing cryptographic security nonlinear combining functions.So,their cryptographic properties are studied in this paper.As a result,we know that non-repeated homogeneous functions of one degree are possessed of good equilibrium and correlation-immunity ,and those of two degrees are one class of Bent functions with the highest non一linearity,the largest order number of diffusion ,etc.On the basis of the above,the applications of non - repeated homogeneous functions to constructing non - linear combining functions are studied in detail. Therefore,the constructions of balanced correlation - immune functions with higher non - linearity as well as of functions with the highest non - linearity and the highest algebra degree are obtained.