In this chapter, we examine a possible direction of corporate governance to develop a more innovative, sustainable and socially responsible (ISSR) society. We start from aspects that expose a threat to the development of an ISSR society. We acknowledge the significance of individuals’, organizations’, and society’s social responsibility for transition to a more ISSR society. In our reported-about research, we limited ourselves to organizations and their responsibility to various stakeholders/participants (internal, external), representing the selected aspect of the study. We explain how values affect the (socially) responsible business policy of an organization. We present the importance of responsible business policy (in terms of development, interest, time, economic and social orientation of the stakeholders/participants of the organization). We explain how the realization of the organization’s ISSR behavior takes place in the organization’s strategies (basic corporate, business, general strategies), emphasizing the interdependence of the organization’s business policy and the organization’s strategies. We demonstrate how it would make sense to develop an innovative sustainable, socially responsible (ISSR) business policy of the organization, and indicate how the organization’s ISSR business policy is reflected in the ISSR strategies of the organization. Since the organization’s ISSR strategies are the basis for the organization’s ISSR operations, our discussion is also focused on examining the achievement of the organization’s competitive advantage by tracking the organization’s ISSR practices — we explain why an ISSR behavior can be the organization’s competitive advantage. Our work is based on compliance with the ISO 26000 standard on social responsibility; we employ the Dialectical Systems Theory (DST) method (particularly emphasizing the aspects of necessary and sufficient integrity, known as requisite holism, and interdependence), and shows the connection between ISO 26000 and DST findings that are important for proper governance, management and business operations of the organization as well as for achieving the competitiveness of the organization through the prism of ISSR practices. We recognize this as one of the basic ways to achieve an ISSR society.