Croatian Bureau for Statistics or organizations of a similar name collect enormous amounts of data on different economic and social issues. Although the data being collected and the forms for collection and retention, as a rule, the tightly structured number and formats of these data become ever greater. The public's demand for such data is increasing and more frequent due to which the state institutes consider introducing new tools in processing and generating new data through researching the relationship between the collected data. This paper examines the possibility of applying Big Data Analytic in the Central Bureau of Statistics of the Republic of Croatia. Big Data related concepts are defined and analyzed in this paper: concepts related to the Big Data characteristics (five V), concepts and technologies of Big Data analytics are defined, those concepts that help us distinguish large amounts of data and Big Data analytics. An overview of the basic categories of analytics and data types is presented. The Big Data Analytic Life cycle was also presented, which is extremely important when it comes to the Big Data Analyst. Cloud services were also presented: Iaas, PaaS and SaaS, as well as the advantages of working in the cloud. The role of the Croatian Bureau of Statistics and the European Statistical System has been defined. The advantages and challenges of introducing Big Data Analytics into official statistics have been presented. As Eurostat is testing the possibility of introducing Big Data Analytic in its statistical research, there are also guidelines and activities that are interesting to Eurostat for the introduction of Big Data Analytic. One possibility of how official statistics can be adapted to Today's time is explained. There is a need for education for occupations in the field of Data Science.