Abstract: A method and apparatus for pneumatically conveying material in form of granular solids or the like includes a feeder sending the material under pressure and addition of carrier gas in a transport pipe such that its cross sectional area is only partly filled with the material. The transport pipe is subdivided by vibration compensators into several pipe sections of a length of up to several meters which are subjected to vibrations so that the wall friction between the material and the transport pipe is reduced in such a manner that at a flow pattern similar to a strand/crown flow up to a plug flow the carrier gas is charged with material to a high degree and a material layer forming at the pipe bottom is also conveyed. The pipe sections may be made of a rigid vibrating material or may be made in form of a flexible hose which is mounted on a support and either directly or indirectly subjected to vibrations.