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We investigate the electronic structures and phase stability of ZnO,CdO and the related alloys in rocksalt (B1) and wurzite (134) crystal,using the first-principle density functional theory within the hybrid functional approximation.By varying the concentration of Zn components from 0％ to 100％％,we find that the ZnxCd1-xO ahoy undergoes a phase transition from octahedron to tetrahedron at x =0.32,in agreement with the recent experimental findings.The phase transition leads to a mutation of the electron mobility originated from the changes of the effective mass.Our results qualify ZnO/CdO alloy as an attractive candidate for photo-electrochemical and solar cell power applications.