Ring artifact is one of the most common artifacts in various types of CT (Computed Tomography) images, which is usually caused by the inconsistent response of detector pixels to X-rays. Effective removal of ring artifacts, which is a necessary step in CT image reconstruction, will greatly improve the quality of CT images and enhance the accuracy of later diagnosis and analysis. Therefore, the methods of ring artifact removal (also known as ring artifact correction) were systematically reviewed. Firstly, the performance and causes of ring artifacts were introduced, and commonly used datasets and algorithm libraries were given. Secondly, ring artifact removal methods were divided into three categories to introduce. The first category was based on detector calibration. The second category was based on analytical and iterative solution, including projection data preprocessing, CT image reconstruction and CT image post-processing. The last category was based on deep learning methods such as convolutional neural network and generative adversarial network. The principle, development process, advantages and limitations of each method were analyzed. Finally, the technical bottlenecks of existing ring artifact removal methods in terms of robustness, dataset diversity and model construction were summarized, and the solutions were prospected.