Collection of enormous amount of data from various organizations, companies, hospitals, banks etc. has led us to uncover useful patterns for decision making. However, preserving privacy while performing data mining is the important consideration to be made. To perform data mining and at the same time preserve privacy is the key research challenge. Rather than simply following policies or guidelines, tools and methods are employed for releasing the data while preserving privacy. In this survey, various attack models and their privacy models for data mining are discussed. © IAEME Publication.