This paper presents a comprehensive study on the occurrence mechanism, instability analysis and suppression methods of self-sustained turn-off oscillation which occurs on cascode gallium nitride high electron mobility transistors (cascode GaN HEMTs). In the beginning, the oscillation waveforms are analyzed, which indicate that the occurrence of the oscillation is determined by test circuit instability. Based on the double pulse test, the impact of the load current IL, DC-bus voltage VDC and gate resistance RG on the self-sustained oscillation is identified. To investigate the instability of the resonant circuit, a smallsignal ac model of the resonant circuit is derived. Based on the model, the influences of various parameters on the self-sustained oscillation are analyzed. The analyses reveal the possible methods which can suppress the oscillation. The effectiveness of the proposed methods is validated by the experimental data and simulation results in the end.