Single-pixel imaging lidar via coherent detection is a computational imaging method that obtains the target's information through a detector without the ability of spatial resolution, by combining active modulation of light field with optical coherent detection. This method has significant advantages in high-dimensional information acquisition and anti-background light disturbance. The basic principles and characteristics of two new single-pixel imaging lidar via coherent detection such as synthetic aperture imaging lidar and ghost imaging lidar, are briefly reviewed and their main research progress are introduced in recent years. The future development trend is also prospected.