The paper deals with the problem of describing many-particle aggregation in dense dispersed system without any limitation for the number of colliding clusters. The ranges of applicability of the binary model of aggregation and the known models of many-particle aggregation have been analyzed. The models for generalizing the discrete binary aggregation Smoluchowski’s equation as well as the new version of the Becker - Döring kinetic equation adapted to a situation when many-body interactions are taken into account have been submitted.