The invention relates to a process for dispensing identical pieces having a symmetry of revolution about an axis, such as rivets; this process comprises arranging the pieces one after another in a tube (2) which has a hollow center (2a) adapted to assure the guiding thereof, admitting a compressed fluid into the tube behind the last piece (1D), and distributing said fluid along the length of the tube toward the hollow center (2a) thereof, to the interior of one or several longitudinal passageways (2b), such that the fluid pressure is exerted along the hollow center in the spaces (E) separating the pieces, up to the first piece (1P) on which the pressure acts for assuring its transfer. The process of the invention permits dispensing a very great number of pieces without risk of jamming in the tube and with a precise guiding permitting maintaining the alignment of the axes of the pieces.