Implementing concepts and models of sustainability into production and business management systems, results in reducing of overall costs by reducing wastage of resources, reducing waste and reducing unnecessary activities. This leads to the continuous growth of the company through the acquisition of new knowledge and technologies. Currently there are many concepts, models, methods, standards and directives related with sustainability. Due to the lack of systematization of the field, many companies give up of implementing them or they implement partially some of the elements into production and business management system, respectively broader, into the green supply chain management. Within the doctoral theses the systematization of concepts, models, methods, standards and directives related to sustainability is presented. With conducted survey research „State and trends of green supply chain management in Croatia” in the Croatian economy, an overview of the current state of sustainability in Croatia is presented. Also the barriers and drivers for the implementation of green supply chain management in Croatian company are identified presented. These results are compared with the results of surveys researches carried out in the world. Based on the obtained results, an implementation model of the green supply chain management in the Croatian companies was made. As such, the implementation model helps Croatian companies to choose the appropriate green supply chains models, helping them to implement those „green” elements that are suitable for their company.