Claims in the construction sector result from, but not limited to, poor contract performance, delays, conflicts and force majeure. The use of Multi-Criteria Decision Making (MCDM) techniques are proposed in construction-related decision-making and prove advantageous in ensuring that claims management processes are effective. This paper provides an overview of existing MCDM techniques proposed for construction claims management. A narrative literature review is performed where Google Scholar and EBSCO host are used to identify relevant articles for the study and 49 articles were selected. From literature, some of the proposed techniques in construction claims management are AHP, ANN, NN, MAUT, SWOT, TOPSIS and VIKOR. Findings from the study indicate that the outdated nature of traditional standalone MCDM techniques has seen the use of hybridised models in construction-related decision- making more useful. Supplementing MCDM techniques with techniques such as BIM is rather relevant since BIM alone has the potential to reduce claims emerging from large construction projects.