Abstract: Based on new forms of the density of potential energy rate and the unknown functions of piecewise construction and with the complementary rule between the variational principles and the unknown functions of piecewise construction, we have established the principles of the discrete analysis for the creep theory——the finite element form, the region form, Galerkin's form and the boundary form. These principles are fundamentals of the approximate solution and numerical solution for the problem of the creep theory. They also provide us with universal way to establish the discrete equations for large general program system.