In this review, we provide a historical overview of the simulation of tropical cyclones (TCs) in climate models, from the first attempts in the 1970s to the current state-of-the-art models. We discuss the status of TC simulation across multiple time scales, from intraseasonal, seasonal, and decadal, to climate change. One of the limitations on the simulation of TCs in climate models has been, and continues to be, balancing the high resolution necessary to accurately simulate TCs themselves with the need to run simulations for many years and using many ensemble members. Several approaches to inferring TC activity indirectly, rather than relying on the models own under-resolved TCs, are reviewed, including the use of TC genesis indices based on the large-scale environment and downscaling methods such as the use of regional climate models and statistical-dynamical techniques. We also provide an update on the status of climate change projections from the current class of models, where it is feasible to directly track the model's TCs. While there has been great progress in the capability of climate models to simulate TCs and provide useful forecasts and projections across multiple time scales, there remains much work to be done. We list some of the sources of uncertainty and model sensitivity, describe where improvements are necessary, and provide a few suggestions for promising research directions. of the development of a tropical cyclone in ECHAM3 with resolution T106 (left panel) and T42 (right panel). (Adapted from Ref 17 with permission. Made available under the terms of the Creative Commons Attribution 4.0 International (CC_BY) License) Advanced Review wires.wiley.com/climatechange 214