Model of data clustering system based on the complex use of agglomerative hierarchical algorithm and inductive modeling methods of complex systems is presented in the paper. The quality of clustering is evaluated by two equal power subsets with the use of complex balance criterion, which takes into account both the displacement the mass centers of the appropriate clusters of different subsets and distribution of objects in the appropriate clusters relative to the mass center. Evaluating the effectiveness of the proposed model was performed using data sets containing clusters of different shapes. Charts of the external and internal complex criterion values against clustering level were created, which allows to determine the optimal clustering of a data set.