The apparatus for treating waste (50, W), in particular organic waste, comprises from the above to below: a loading section (2, 101), a grinding section (3, 102) and a section (4, 107) for storing the waste. A possible succession of steps of a functioning cycle of the apparatus starts with opening a loading container (21, 104), for example by using a handle (24, 160), and loading the waste (50, W) that requires treatment inside the apparatus. The container comprises a box-like body (22) and a base (23), which can move with respect to the body for bringing the container from a waste supporting configuration to a waste releasing configuration in the grinding section.