Development of a system is always driven by the thermodynamic irreversible process and also the nonlinear dynamics process.The entropy equilibrium equation,which combines the equation set of atmosphere dynamics and the Gibbs relation in which kinetic energy change is taken into account,can describe the thermodynamic irreversible process and the nonlinear dynamics process.Up to now,the principle of minimum entropy production has been demonstrated only using the Onsager linear phenomenological relation in the nonequilibrium state thermodynamics.This paper demonstrates the principle of minimum entropy production by using the new entrop y equilibrium equation that is established with the atmosphere kinetic equation. As a result the principle of minimum entropy production is universal in the line ar and nonlinear regions of thermodynamics.A system arrives at a state of minimu m entropy production with the weakest irreversible process,when it is in heat tr ansportation balance;vapor transportation balance and momentum transportation ba lance.This minimum-entropy-production state is a stationary state,when the syste m is also in dynamic equilibrium and with out advection.This stationary state co rresponds to a certain ordered structure of the atmosphere system, when it devia tes from the equilibrium state.