Abstract: At the moment Data is one of the most important assets for companies in every sector. The constant demand/growth in the importance and volume of data has resulted in a new problem: it cannot be solved by traditional analysis techniques. This problem was, therefore, handled through the invention of a new paradigm: Big Data. However, Big Data itself came up with new issues related not only to the volume or the variety of the data, but also to data security and privacy of each individual. Therefore, this paper will provide a survey on different privacy and security issues the big data is currently facing. The issues include privacy issues, management issues, integrity security, availability and confidentiality of data.