Method for feeding in and for handling waste material in the channel section of a pneumatic wastes conveying system, in which method waste material or recycleable material is fed into a feed-in container (10) from the input aperture (2) of at least two input points (1) of a pneumatic pipe transport system for material and onwards into the channel section (20, 21, 22) between the feed-in container and the material conveying pipe (100), from where the material is conveyed along with the transporting air via the material conveying pipe (100) to the delivery end of the pneumatic material conveying system, where the material is separated from the transporting air. In the method the channel section (20(II), 20(III), 20(IV) . . . (22(II), (22(III), 22(IV)) of at least one second input point is connected to the channel section (20(I), 21(I), 22(I)) of one first input point between the input point (1) and an impeding means (30, 30'), in that in the method at least a part of the material (w1, w2, w3, w4) fed in is acted upon by the combined effect of suction and replacement air in the channel section (20(I), 21(I), 22(I) . . . (20(IV), 21(IV), 22(IV)) by bringing about compression in size in at least a part of the material (w1, w2, w3, w4) being conveyed, by means of an impediment (30) arranged between the conveying pipe (100) and the material (w1, w2, w3, w4) to be handled, or against the impediment, before transportation of the material to the delivery end of the pneumatic transport system for wastes.