Abstract: In the presence of non-zero freqnency wave (NFW),two kinds of mathemaical models witrh or witrout divergence are investigated ahiut the dynamics of low frequency propagation of tropical atmosphere in tre study.The results suggest that the frequency parameter of NFW is a key factor,which dominates the wave train qath of energy disqersion as well as the amplitude variation,and that the meridiona lpropagation of low frequency oscillation(LFO) in tropics has the significant correlatiln with the strong convetive cloud cluster accompanied anf,to a certain eztent,with β effect in the lower latitudes.The conclusion presdnted here confirms further the phenomena and mechanisms about the metidional migration of armospheric LFO imn lower latitudes and the accompanying cumulus convection.The mathematical mode of wave ray epuation responding to the atmospheric LFO dynamic characteristics.The vertical structure if water vapor and umstable stratification etc.are also shown in the paper.