We systematically study the magnetism and stability of monodoped and codoped ZnO bulks with 3d transition metal (TM = Sc,Ti,V,Cr) or nonmagnetic 2p light element (LE = C,N) and their compenstated (Sc+N,Ti+C) and noncompensated n-p (Sc+C,Ti+N,V+C,V+N,Cr+C,Cr+N) pairs by employing spin-polarized density functional theory calculations.The compensated codoped ZnO are nonmagnetic whereas all the monodoped and noncompenstated codoped ZnO are ferromagnetic with exceptions of the Sc-mondoping and (Ti+N) codoping.Most interestingly,the noncompensated (V+N) and (Cr+N)-codoped ZnO may be the best candidates as ZnO-based spintronics due to their good ferromagnetism and reliable stability.