Hamilton Principle was entering into one side and Einstein Field Equation(EFE) was entering into the other side, based on the thought of relativity between reality and virtuality in physics and the Postulate of Completeness, the author would rather integrate Hamilton Principle with EFE so as to build a new physical principle------Hamilton Tensor Equation(HTE), which could substitute for Hamilton Principle and also EFE to depict the relationship among time, space, matter and energy, and thus the author deemed that it should be the virtuality of physical space rather than its curvature that determined its distribution, and further the distribution so determined by HTE should be more complete in nature than that energy-momentum-tensor-distribution as defined by EFE. At last, the author proposed some ideas about the application of this new physical principle.

Keywords: Hamilton Principle, Einstein Field Equation(EFE), Relativity, Completeness, Hamilton Tensor Equation(HTE)