Abstract: The asymptotic behavior of solutions of the moist at mospheric equatins is studied in the infinite dimensional Hilbert space. After deduced that the moist at mospheric equations in Hilbert space is a very special operat or equation, the existence theorems of the gloalabsorbing set and the global at tractor are obtained by use of the properties of operators, and the property that the asy mptotic behavior of solutions show sitself on the structure of at tract or and the nonlinear adjustment to the diabatic heating are revealed. Then the essential differences between so mesimplified equations and the primitive equations are pointed out, and the reduced principle of at mospheric equations that must be complied with in the studies of long -range weather and climate are given.