Abstract: Through solving the nondivergent inviscid linear vorticity equation in cylindrical coordination of barotropic at mosphere with WKBJ method,the authors point out that one kind of wave,named vortex Rossby wave,which is similar to planetary wave,exists in hurricane,its formation is due to the gradient of vertical vorticity component of basic state.According to the dist ribution of the radial gradient of vertical vorticity component of hurricane,which is calculated with high-resolution output from one explicit numerical simulation of a hurricane case,this kind of wave mainly emerges in eye and eyewall.At the same time,the analysis of wave structure declares that there is radical dispersion of the disturbing energy,which may be one of the formation mechanisms for warm core in hurricane.Finally,the radial dispersion of stationary vortex Rossby wave is discussed with waveray method.