Abstract. Basin inversion involves the reversal of subsidence in a basin due to compressional tectonic forces, leading to uplift of the basin’s sedimentary infill. A thorough understanding of basin inversion is of great importance for scientific, societal and economic reasons. Analogue tectonic modelling forms a key part our efforts to improve our understanding of basin inversion processes, and researchers have conducted numerous studies on this topic. In this review paper we recap the advances in knowledge of basin inversion tectonics acquired through analogue modelling studies, providing an up-to-date summary of the state of analogue modelling of basin inversion. We describe the different definitions of basin inversion that are being applied by researchers, why basin inversion has been historically an important research topic, and what the general mechanics involved in basin inversion are. We subsequently treat the wide range of different experimental approaches used for basin inversion modelling, with attention to the various materials, set-ups and techniques used for monitoring and analysing the model results. Our new systematic overviews of generalized results reveal the diversity of model results, depending greatly on the chosen set-up, model layering and (oblique) kinematics of inversion, as well as 3D along-strike structural and kinematic variations in the system. We show how analogue modelling results are in good agreement with numerical models, and how these results help to better understand natural examples of basin inversion. In addition to reviewing the past efforts in the field of analogue modelling, we also shed light on future modelling challenges and identify a number of opportunities for follow-up research. These include the testing of force-boundary conditions, adding geological processes such as sedimentation, transport and erosion, applying state-of-the-art modelling and quantification techniques, and establishing best modelling practices. We also suggest expanding the scope of basin inversion modelling beyond the traditional upper crustal "North Sea style" of inversion, which may contribute to the on-going search for clean energy resources. It follows that basin inversion modelling can bring valuable new insights, providing a great incentive to continue our efforts in this field. We therefore hope that this review paper will form an inspiration for future analogue modelling studies of basin inversion.