The field of human resources requires the presence and action of several categories of persons and managerial structures interested in the quality of human resources and the activities developed by them. Besides managers and employees there are also the shareholders, the unions, the customers, the different national or local agencies, the local community, etc., with major interests regarding decisions in the human resources area. In order to harmonize their activities and achieve an optimal perspective within the evolution of Human Resource Management, special attention is paid to the strategy of human resources management. According to many specialists, strategies in the field of Human Resource Management show, in the first place, that personnel function adopts a broader perspective and a more dynamic view of human resources, which enables its full integration within the other functions of the organization. In the second place, strategies in the field of Human Resource Management designate the assembly of long term objectives concerning human resources, the main modalities of achieving them and the necessary resources which guarantee that the organization’s structure, value and culture as well as the utilization of its personnel contribute to fulfilling the general objectives of the organization. Therefore, we approached in this paper the problems of grounding and elaborating the Human Resource Management strategy, and we outlined their specific traits, as these are necessary aspects in order to emphasise at the end of our paper the correlation between the strategy in the field of Human Resource Management and the general strategy of the organization. Taking into account specialists and practitioners’ increased interest in knowing, substantiating and implementing strategies in the area of Human Resource Management, we consider that the aspects presented in this paper are modern issues and a starting pointing in solving the great problems of organizations nowadays. Thus, contemporary economic thinking is invited to solve the numerous challenges that society faces in general, aspects that can be solved, we believe, only if a strategic Human Resource Management is achieved with great professionalism. Therefore, Human Resource Management strategies constitute a continuous challenge for organizations’ researchers and a real possibility to attain performance within organizations, be they present in a national or international area.