Abstract The multiple production of hadrons at high energies is considered by means of the “reggeon diagram technics”. It is shown that under some kinematical restrictions (in particular the small values of the perpendicular components of the impulses of the particles produced) the many-particle amplitude is reduced to the two-particle amplitude due to the fact that the emition of hadrons occurs to be independent one of another like the radiation of soft photons in electrodynamics. This rule is applicable only for production of such hadrons which can not be emitted by the Pomeranchuk pole (because of their quantum numbers) but only by some reggeon carrying the proper quantum numbers and determining the asymptotics of the two-particle process.