Abstract: Using quasi-momentum non-divergence medel involving adiabatic heating process,the influences of heating,inertial stability,stratified stability and non-therrnal wind on the intensity change of inertial-gravity wave in typhoon are investigated.Furthermore the heating processes of inner core and external part of typhoon are considered respectively.The results show that the necessary conditions of abrupt change of intensity in typhoon for inner core are not only the nonlinear dynamical but also the nonlinear heating processes,and those for external part are the nonlinear dynamical and steady heating processes.