It is emphasized that self-assessment practices using quality award-based models has been adopted by companies throughout the world as a comprehensive and systematic means for identifying the areas for improvement. National Quality Award (NQA) models around the world have been developed to assist organizations for analyzing its performance with reference to quality management. In this paper the authors discuss the self-assessment practices based on NQA models on the basis of current literature. A range of issues is discussed including the main purpose, benefits and process of self-assessment practices. The main quality award-based world-renowned models and frameworks are also reviewed in this paper. This study is also highlighted the main benefits of self-assessment practices for organizations seeking to introduce quality management. The results can be considered as valuable information for management review to develop an effective action plan to better-performing companies by analyzing their current practice in their quest to put meaning to quality.