Previous studies presented the phase diagram induced by the disorder existing separately either in the higher-order topological states or in the topological trivial states,respectively.However,the influence of disorder on the system with the coexistence of the higher-order topological states and other traditional topological states has not been investigated.In this paper,we investigate the disorder induced phase transition in the magnetic higher-order topological insulator.By using the convolutional neural network and non-commutative geometry methods,two independent phase diagrams are calculated.With the comparison between these two diagrams,a topological transition from the normal insulator to the Che insulator is confirmed.Furthermore,the network based on eigenstate wavefunction studies also presents a transition between the higher-order topological insulator and the Che insulator.