In this paper, on he basis of introducing the concept ‘vorticity entrophy’, the production of vorticity entrophy in the barotropic large scale mothion under the inviscid and adiabatic conditions was discussed. It is indicated that the beta effect, topographic effect and the divergence of motion might cause the production of vorticity entrophy. Moreover, the vorticity entrophy was applied to describe the formation process of dipole blocking in the atmosphere. Therefore, it can improve our understanding of the formation process.