In some liquid-filled spinning systems, although top stability conditions of frozen-liquid are satisfied theoretically, and the top nutation is not of resonant instability due to liquid inertia wave, angular motion of the rotating liquid-filled system is not stable in experiments. This phenomena can not explified by resonant instability theory of the SWM(Stewartson-Wedemeyer-Murphy). Therefore, it is very difficult to avoid the instability parameters in practice design. The influence of non-fully rotating liquid on the stability of spinning liquid-filled top is numerically analyzed, and the non-linear stability of spinning liquid-filled top is investigated using the partial stability theory of Liapunov-Rumjantsev. The stability condition of spinning liquid-filled top with non-fully rotating liquid is concluded.