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This dissertation was written as part of the MSc in Sustainable Development at the International Hellenic University. The concept of sustainability is now a key factor, for business and society and for the environment as well. The question, which enters now, is how the concept of sustainability should be connected or implemented in human resource management. The existing literature shows the need for the emergence of a new concept: (sustainable human resource management). The discussion on the relationship, between sustainability and human resource management, admit more and more attention to be paid by academics and other specialists and professionals. It is commonly know that in any theoretical study, all factors should be taken into consideration, so as, a clear view, about the mentioned study, to be finally extracted. In this paper particular attention is paid, to draw the definitions and the evolution of the concepts of SD, CSR and HRM. The objective of this paper is to present the current theoretical approaches in the literature on: a) the classification and the description of the theoretical views on the concepts of CSR, SD and HRM b) put these concepts to the wider theoretical scope, so they became endeavor for alignment and consistency of them and c) finally to present the four models of Sustainable Human Resource Management that currently dominate the literature.