Ghost Imaging Lidar via Sparsity Constraints (GISC Lidar), which belongs to a novel staring imaging Lidar mechanism, has been proven to be capable of high detective sensitivity, high resolution and high noise resistance. In order to promote GISC Lidar to practical application, the paper reviews the GISC Lidar mechanism and the recent research status of domestic and overseas, then highlights the core issues that GISC Lidar needs to solve in practical application and some recent achievements that the group has obtained. Finally, a simple outlook about the development trend of GISC Lidar has been prospected and discussed.