  This paper is concerned with the long-time behavior of solutions for the
three dimensional viscous primitive equations of large-scale moist atmosphere.
We prove the existence of a global attractor for the three dimensional viscous
primitive equations of large-scale moist atmosphere by asymptotic a priori
estimate and construct an exponential attractor by using the smoothing property
of the semigroup generated by the three dimensional viscous primitive equations
of large-scale moist atmosphere. As a byproduct, we obtain the fractal
dimension of the global attractor for the semigroup generated by the three
dimensional viscous primitive equations of large-scale moist atmosphere is
finite, which is in consistent with the results in \cite{jn2,jn1}.
