The pneumatic device for controlling the flow of granular solids is chiefly characterized in that it consists of a non-mechanical valve (that is, it has no mobile elements) which is based on combinations of vertical and slanted tubular sections. It is operated with compressed air or another aeration gas in such a way that the flow of solids passing through the device can be controlled, whereby said flow can be modified in a given interval or can be even closed completely if desired. The device comprises automatic control systems to regulate the flow of the solid and the aeration flow volumes used in the handling of said flow and during self-cleaning cycles. The device can be used in managing, dosing and controlling the flow of granular solids in hoppers, silos, mobile and fluidized beds.