The quantum Hall effect (QHE) with quantized Hall resistance of h/ve2 started the research on topological quantum states and laid the foundation of topology in physics.Since then,Haldane proposed the QHE without Landau levels,showing nonzero Che number | C| =1,which has been experimentally observed at relatively low temperatures.For emerging physics and low-power-consumption electronics,the key issues are how to increase the working temperature and realize high Che numbers (C ＞ 1).Here,we report the experimental discovery ofhigh-Che-number QHE (C =2) without Landau levels and C =1 Che insulator state displaying a nearly quantized Hall resistance plateau above the Néel temperature in MnBi2Te4 devices.Our observations provide a new perspective on topological matter and open new avenues for exploration of exotic topological quantum states and topological phase transitions at higher temperatures.