Understanding the cellular principles of odontogenesis requires an incremental and up-to-date understanding of the sequential molecular embryological processes leading to a complete normal dental formation. This topic review provides a state-of-the-art explanation of these dental morphogenetic processes and the subsequent crown development in normal deciduous and permanent teeth, based on an upgraded version of the “odontogenic homeobox code”. The description of these processes is shown from the differential epithelium-ectomesenchyme and epithelium-mesenchyme interaction stand-points, necessary to produce cell-cell and extracellular matrix-cell transformations. These cellular processes lead to the sequential stages of classic histological dental formation, which progressively correspond to the development of dental regions, identities, and forms, to obtain complete deciduous and permanent human dentitions.