Abstract: Based on new forms of the densities of potential and complementary energy rate and non linear geometrical equations, two kinds of the generalized functionals and the generlized variational principles belonging to three-kind argument functions were established with lagrange multiplier method.Making use of match principle in combinatoriecs and normalization method, we have derived the new forms of the funtionals and variational principles belonging to two independent argument functions. These generalized variational principles are the fundamentals for approximate computation and numerical analysis of engineering structure in the deformation theory of creep.