Ghost imaging is a novel active imaging technique in which the information of the object is obtained based on high-order correlation of light fields. It has the characteristics of high sensitivity and anti-interference, and has broad application prospects in biomedicine, remote sensing imaging, and other fields. Ghost imaging requires multiple samplings to reconstruct the object image, and the imaging process takes a certain time, during which the relative motion between the object and the imaging system will lead to the degradation of image quality. How to improve the performance of imaging for moving objects is one of the key problems to be solved in the application of correlation imaging. In this paper, the basic concepts of ghost imaging are briefly reviewed; the principle of method, development, and current status of ghost imaging for moving objects are introduced. The applicable scenarios of the proposed technique are compared and the development trend is forecasted