The present stage of knowledge on the fundamental dielectric breakdown of polymers is surveyed. At first, the existing theories are briefly described, involvingones presented from a consideration of the inherent nature of polymers. On the basis of them, the relation between their molecular and morphological feature andthe electric strength is discussed with particular attention to the crystallinity and molecular motions. Polar groups, impurities, tacticity, crosslink, etc. influence the breakdown process directly and indirectly through the modificationofthe crystallinity and phase transitions. The importance of space charges and internal strain is also shown.