Grid-forming (GFM) inverters are recognized as a viable solution to increase the penetration of renewable energy in bulk power systems. However, GFM inverters are physically different from synchronous generators (SGs) in terms of fault current level. To protect the GFM inverters and support the power grid under faults or severe disturbances, various current-limiting control methods are developed. In this paper, an overview of these methods is presented, which can be classified as direct, indirect, and hybrid ones. An overall control diagram of GFM inverters is developed to demonstrate the implementation of different current-limiting controls. The advantages and disadvantages of different methods are also illustrated. Finally, open issues of current-limiting control methods for GFM inverters, including control stability, fault recovery, and fault current injection, are summarized.