The present status of the theory of Coulomb displacement energies, AE,, of analogue states in nuclei (mirror nuclei in particular) is reviewed. I n recent years, a considerable amount of investigation has been carried out on the problem of evaluating 4E, in order to resolve the persistent discrepancy between theory and experiment over a wide range of nuclei. The calculated values are found to be N 7% smaller than the experimental values. This discrepancy is known as the Okamoto-Nolen-Schiffer anomaly. We review in this work all possible correction terms which contribute more than 10 keV to Coulomb displacement energies. The possible effects of charge dependence in the nuclear forces, and in particular charge asymmetry (Vnn # Vpp), on the calculated values of 4Ec are discussed in detail. Effects due to the interplay between the Coulomb and nuclear forces on AE, are also considered in detail. We especially emphasise the relation between AEc and AY = Yn -rP, the difference between the RMS radii of the proton density distribution and the neutron density distribution in nuclei. We also discuss and suggest the (possible) solution of the Coulomb energy problem in nuclei.