The organizational culture is a significant construct in a time of change during the organizational transition, and it plays an important role in achieving goals of social responsibilities, which is an important part of sustainability. The literature shows the gap of socially responsible transfer of organizational culture with the impact on employee’s well-being. The cultural changes of the organization during the transition are particularly in connection with the impact on internal communication where organizational culture presents a part of values, norms, and ethics, which influences successfully implemented changes and in such a way has an influence on the stress and work satisfaction. The main purpose of the presented study is the development of the model of socially responsible transfer of organizational culture to the foreign subsidiaries on a basis of adjusted internal communication, which reduces stress and increases work satisfaction. Impacts of organizational culture on internal communication, stress, and work satisfaction are clearly presented, as well as inter-related impacts of the constructs concerning national culture, leadership, and organizational knowledge. Thus, the new holistic model of socially responsible transfer of the parent organization culture to foreign subsidiaries clearly defines steps of organizational culture, internal communication, stress management, and work satisfaction. Managerial implications are discussed.