The article reviews the electron microscope studies of incommensurate phases in dielectrics. General structural properties of the incommensurate phase such as the formation of discommensuration (DC) array near the Lock-in transition point are described. Superspacegroup is used for analyzing the continuously modulated structure, being applied to the analyses of the incommensurate structures of Sr2Nb2O7 and Bi2Sr2CaCu2O8. A DC array corresponds to an array of domain walls in the commensurate phase, which forms a characteristic domain structure, such as a so-called ‘stripple’. The domain configuration around the stripple in the IC phase of Rb2 ZnCl4 is identified from the diffraction contrasts of DCs in the electron microscope images.