The minimal value principle of the generalized energy is demonstrated using the atmosphere nonlinear dynamics. It is demonstrated more theoretically that the mi nimal value principle is coincident to the principle of least entropy production in the nonequilibrium thermodynamics of atmosphere. The minimal value principle shows that the generalized energy at the final state of a force dissipation dyn amic system reaches a minimal value. However,the principle of least entropy prod uction shows that the irreversible process inside a system is weakest at the fin al state of an open system far from the thermodynamic equilibrium state. Further more, the final state in which the generalized energy of the system reaches the minimal value and the entropy production of the system reaches the minimum value is generally a stable stationary state. It is corresponding to a certain system ic ordered structure. This means that it is an ordered stationary state of “low consumption but high effect”.In the atmosphere,as a typical complex system in nature, the principle of least entropy production and the minimal energy value p rinciple imply a universal principle for complex systems, which always tend to t he ordered stationary state of “low consumption but high effect”.