The electronic structure of CoO is studied by a self-consistent cluste
r-embedding method. The localized and band properties are found in bot
h ground state and excited states. An explanation for the insulating n
ature of CoO is proposed which is consistent with the one for NiO prop
osed previously. The simulations of both the spin-ordered states and t
he spin-disordered states (with local antiferromagnetic order) give a
good description of the magnetic properties of CoO. It is found theore
tically that CoO remains as an insulator when it goes from the paramag
netic phase to antiferromagnetic phase.