A comminuting machine (MC) for waste material is described. It comprises a frame comprising a cutting table (60) equipped with fixed knives (22, 24), a shaft (30a, 30b) rotatably mounted in the frame and on the table, and equipped with an array of rotating blades (20a, 20b) radially projecting from the shaft. The rotating knives to cut the material have a face adjacent to, and adapted to cooperate with, a fixed knife. To improve the machine the frame comprises a housing (AL) for the table, the table being insertable and removable from in said housing independently from the shaft and the rest of the frame.
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