Abstract-During last two decades, object-oriented paradigm has arisen as a prevailing software engineering practice for solving software problems. A large number of object-oriented metrics are proposed during that period to measure the properties like abstraction, encapsulation, inheritance, polymorphism, coupling, cohesion, information hiding and reusability. Most of the researchers mainly depict attributes like class, object, and method to measure the properties in their research. In this paper metrics are defined to depict Member Access Control mechanism and then employed in the class hierarchy. By successfully implemented the proposed metrics in object-oriented programing, we quantify the derived classes which directly results to reduce code, time and complexity of the object-oriented software systems. The proposed metrics provides a new way to understand and imply these concepts in research and development of the software using object-oriented approach.