The invention relates to a device for the composting of biogenic materials, wherein material introduced at the top of a container as in FIG. 2b reaches a storage chamber (2) arranged below a reactor chamber (1) passing therethrough only by gravity with air introduction. Slide surfaces are provided which brake the downward material flow. Slide vanes (4), for example, can be used as slide surfaces and also other slide devices such as tubes, funnels, spheres and particular container shapes. The compost can be easily removed from the storage container by means of a shovel, or similar without the weight of the heap affecting the shovel. The otherwise necessary shifting of the heap in order to reach the mature compost on the floor is thus avoided. The heap is also vertically aerated over the whole surface thereof from bottom towards the top, the composting organisms are continually optimally supplied with air and optimal conversion rates of fresh biowaste to compost achieved.