Environmental and economic impact assessment of products have a long record, while social performance analysis of products have less references in the scientific literature due its particularities and the adaptations needed for the features of the studied subject. In addition, there is a lack of a methodological framework of its application in the analysis of value chains, with the aim of estimating the impacts of technical innovations from the social point of view. This paper describes the theoretical framework and impact assessment approach for the Social Life Cycle Assessment of product value chains under a circular economy approach by applying a scoring system in different subcategories and indicators, considering the plastic packaging sector as a case study. Twelve subcategories have been chosen, because of their relevance to the case study, related to the impacts on the labor conditions, consumers’ well-being, end-of-life of the product, local community conditions, technology and suppliers, among others. The validation of the methodology in the plastic packaging sector is done by considering the main stakeholders involved in the value chain and the particularities of the sector.