Despite the growing attention that human resources have received in the management literature, the strategic role of the HR function is still being questioned. The main target of this paper is to determine whether firms that follow the strategy, leadership and personnel suggestions proposed by the EFQM Model contributes to improve organizational performance, and also determining if the strategic management of human resources plays a mediating effect between the personnel management and the results of the company. The study was performed using a questionnaire on a sample of 200 mediumsized industrial Spanish firms, and employing Structural Equations Modelling methodology. Our findings suggest that, under the EFQM Model, the influence of both leadership and strategy on people allows organizations to improve their performance. Moreover, a strategic approach in the management of human resources helps to enhance the contribution of personnel in the results of the company. This fact had not been broadly studied in prior literature and, moreover, it has not been found any joint framework linking leadership, strategy, personnel, strategic human resource management and performance in QM organizations. This study helps managers to identify what types of strategy and relationships with their staff can be most effective in improving the company's results. At the same time, it is a stimulus for the personnel directors who defend a strategic approach to the human resources function in their companies.