Abstract: A two-level,quasi-geos trophic long-wave model based on spherical coordinates was introduced.Its explicit part belongs to a low-order model.However,it includes not only diabatic heating,Ekman friction and mountain distribution,but also parameterized forcing effects of transfer properties of transient eddies,Experiment results showed that,due to the introduction of the parameterization of transfer properties of transient eddies,remarkable improvements in behaviours of low-order models had been obtained.In addition to its economization in calculation and conciseness in research as in a low-order model,the long-wave model was shown to describe the energetics and angular momentum balance of the atmosphere much more reasonably,and to present the features of zonal mean westerlies and stationary waves much more correctly than the corresponding low-order model.This kind of long-wave model was therefore regarded as suitable for theoretical researches and numerical modeling of some aspects of the general circulation of the atmosphere.