Supply chain network design (SCND) models and methods have been the subject of severalrecent literature review surveys, but none of them explicitly includes sustainable development as amain characteristic of the problem considered. The aim of this review is to bridge this gap. The paperanalyzes 86 papers in the field of supply chain network design, covering mathematical models thatinclude economic factors as well as environmental and/or social dimensions.The review is organizedalong four research questions asking i) which environmental and social objectives are included, ii) how are they integrated into the models, iii) which methods and tool are used and finally iv) which industrial applications and contexts are covered in these models.The review finds that there are a number oflimitations to the current research in sustainable SCND. The narrow scope of environmental and socialmeasures in current models should go beyond limited greenhouse gas indicators to broader life-cycleapproaches including new social metrics. The more effective inclusion of uncertainty and risk inmodels with improved multi-objective approaches is also needed. There are also significant gaps in thesectors used to test models limiting more general applicability. The paper concludes with promisingnew avenues of research to more effectively include sustainability into SCND models.