In this paper, the authors demonstrate on accuracy constrained privacy-preserving access control mechanism for relation data framework with multilevel anonymization techniques. Access control policy which define selection predicate on sensitive data and privacy requirement deals with anonymity. As Privacy Protection Mechanism (PPM) provides less privacy protection and the data is shared so the user should compromise with the privacy of dada. The paper is to provide more security to the sensitive data along with minimal level of precision. An imprecision bound constraint is introduced on each selection predicate.