Abstract: At present, the boundary element method is applied to solid mechanics, structure engineering and non-structure problem. Scientists are interested in this problem. Based on the non-classical (snbregion or modified) variational principles for solid mechanics, we established the non-classical variational principles for the region form and the boundary variational principles of the boundary element method applied calculus of variation. Yet the unknown functions in the subregions with boundaries are independent of one another. The boundary variational principle is a natural development for the variational principles with the region form.