Mathematical modelling and simulation represent a significant portion of quantitative modelling efforts in the field of construction supply chain management. A gap exists in understanding the current research status of mathematical and simulation modelling in this field. This paper provides a systematic literature review from 179 journal articles to synthesise these modelling techniques that are applied to construction supply chain management. Three research questions, focusing on characteristics of construction supply chains captured, model applications, and construction supply chain problems modelled, are proposed. A framework comprising three structural dimensions is developed to answer formulated research questions. Findings suggest mathematical modelling dominates current research in construction supply chain modelling. Ten future research trends are also proposed. This paper successfully outlines how mathematical, simulation and hybrid models can contribute to construction supply chain management.