Clarification of physical mechanisms on low frequency discharge current oscillation in the 20kHz range is important to improve thruster performance. In this paper, we have investigated the oscillation frequency and the space distribution of oscillation and of main plasma properties (electron temperature and plasma density)under various operating conditions (voltage, magnetic field, channel length, etc.) using a Hall thruster of our design. The results show that the "Ionization oscillation model" could explain qualitatively most of the physical mechanisms for low frequency oscillation phenomenon. The amplitude of oscillation coincides with the reciprocal of the length of ionization zone through comparing the theoretical/numerical analysis which includes this instability against experimental results.