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Sergii Khlamov (1), Vadym Savanevych (1), Olexander Briukhovetskyi (2), Iryna Tabakova (1) and Tetiana Trunova (1) 1 - Kharkiv National University of Radio Electronics, Nauki avenue 14, Kharkiv, 61000, Ukraine 2 - Western Radio Technical Surveillance Center, State Space Agency of Ukraine, Kosmonavtiv Street, Mukachevo, 89600, Ukraine The very fast technological progress provokes the creation of a big volume of the information that can be fed in different forms. There are various science directions that use high dimensional data sets for the analysis. In this paper we presented the few aspects of the "knowledge discovery in databases" (KDD) process related to the Data Mining stage in astronomy, analyzed and reviewed Data Mining approaches. We presented the examples of astronomical sources of Big Data, instruments, information types, processing algorithms that can be used for the Data Mining process in astronomy. The paper deals with applying the CoLiTec (Collection Light Technology) software for the online processing of the different types of astronomical information using the Data Mining approach. This is achieved by using of the developed OnLine Data Analysis System (OLDAS), which helps with solving of the Data Mining tasks, like clustering, classification, and identification.