Abstract: By using of the two-level quasi-geostrophic baroclinic model on the β-plane, the finite-amplitude problem of baroclinic instability with frictional dissipation and heating of convective condensation has discussed in this paper. The finite-amplitude equation joined is intc:orated numerically.It is shown that the amplitude of the unstable b:moclinic wave evolves periodically if no discipotion exists, and finally approaches to an equilibrium state in mhich the amplitulle will be zero while the frictional dissipation exists only in Inwer layer Under the condition that there is frictional dissipation in both layers, the multiple equilibrium states exist. If the couvcctive heating is weaker (m*1), one of the equilibrium states is with zero amplitude and another two are non zero. and the amplitude of disturbance wave approaches to non zero eyuilibrium.But, only single equilibriurn state of zero amplitude exists if the convective heating is stronger (m*≥1), to which the amplitude of the disturbance wave finally approaches.