Multiferroic compounds are prime important materials for future electronic and magnetic devices and overcome the fundamental limits of conventional materials. In present work, we reported the preparation of purely one phase of nano-sized BiFeO₃ compound by microemulsion micellar method for the first time by employing rapid quenching of sample at 500 °C, that is the main driving force to get the pure phase of BiFeO₃ nanoparticles at low temperature method. The nanoparticles that we obtained were almost uniform with sphere shaped and these prepare nanoparticles possess high surface. The increase in permittivity in the form of dielectric constants were reported that depends on temperature and frequency that supports the ferroelectric nature and was further confirmed by the ferroelectric loops even at the room temperature has been found in theses prepared nanoparticles.