The invention discloses a multi-stage processing, coring and peeling machine with a flexible feeding mechanism. The machine comprises a box body, a gantry, the flexible feeding mechanism, a controller, a pre-cutting mechanism, a coring and peeling mechanism and a waste-material removing mechanism, wherein the gantry and the flexible feeding mechanism are arranged on the box body, and the pre-cutting mechanism, the coring and peeling mechanism and the waste-material removing mechanism are installed on the gantry. Firstly, fruits are put into flexible locating holes in a disc manually, then, the multi-stage flexible feeding mechanism carries the three fruits to turn to a pre-cutting station, and round blades cut the pedicels of the fruits off; secondly, an intermittent cutting machine drives a rotating disc to turn to a coring and peeling position, a coring cutter moves downwards to push fruit cores out, and a peeling cutter moves upwards and cooperates with a shell-flesh separation baffle to extrude fruit flesh out; thirdly, a push plate moves forwards to push the fruit flesh forwards into a fruit flesh box; finally, the multi-stage flexible feeding mechanism turns to a waste-material station, a rolling brush carries fruit shells out of a feeding hole through rotating movement. The multi-stage processing, coring and peeling machine with the flexible feeding mechanism is simple in structure, convenient to operate and good in processing effect, the obtained fruit flesh is good in integrity and low in loss, and the processing efficiency reaches 5-6 times of manual processing efficiency.