Molecular assembly with magnetic bistability has been of considerable interest for application as electronic devices. In contrast to transition-metal cornpleXes, magnetic bistability so far observed in organic radical crystals is mainly caused by interinolecular electron exchange interaction. We now report that the magnetic bistability in an organic radical can also be caused by intramolecular electron-exchange interaction. The diradical salt of 1,4-di(bisphenylamino)-2,3,5,6,-tetramethylbenzene undergoes a phase transition with a thermal hysteresis loop over the temperature range from 118 to 131 K. The phases above and below the loop correspond to two different singlet states of the diradical dication. The results provide a novel organic radical material as an unprecedented instance of an intramolecular magnetic bistability revalent to the design of fanctional materials.