The intramolecular transfer of triplet excitation energy between isolated chromophores on the same molecule has been verified after intensive studies in this field. This review discusses process made in intramolecular energy transfer within multi-chromophoric dye molecules in recent years. The photostability of dyes plays a very important role in the development and applications of organic dyes. Many multi-chromophoric organic dyes with covalent linkage between the chromophores, one of which can act as a triplet acceptor of the excess energy, have been synthesized and studied. So, the review also focuses on the significant increases in photostability of such assembling dyes, which suggests that some chromophores can act as internal photostabilizers. These modified dyes have enhanced photostability and hence potential applications in a wide range of areas such as laser dyes, electroluminescent devices and solar cells.