Abstract: The theoretical calculation of the band structure of ZnO mostly involves the local-density approximation（LDA） method,which usually seriously underestimates the band gap.So,it is desirable to calculate the band structures in a more reliable method.In this paper,we present the band-structure calculations of wurtzite ZnO within the framework of density-functional theory（DFT） in LDA,employing the correction for band structures of wurtzite ZnO with GW approximation（GWA） using the ab initio pseudopotential method.The Zn 3d electrons are considered as valence states both in LDA and quasiparticle calculations.The LDA spectrum shows that ZnO is a direct band-gap semiconductor.The differences between the band structures obtained by the GWA and LDA are discussed.