A basic content of the morphological analysis of space objects is obtaining the volume parameter. LiDAR can be effectively used to scan space objects to obtain the laser point cloud and calculate its volume. First, a three-dimensional (3-D) LiDAR was used to scan the object to obtain the original point cloud; then, after 3-D space transformation, the point cloud is repaired with missing data, and the filtering and down-sampling processes were conducted to denoise and reduce the point cloud data. Finally, an implicit surface reconstruction algorithm was used to build the mesh model of the 3-D point cloud, and the volume was obtained from the mesh model. Two experimental objects were scanned using the LiDAR for experimental verifications. Compared with the actual volumes, the errors of the two experimental volumes are only 0.456% and 0.394%, indicating that the proposed volume calculation method demonstrates good surface reconstruction effect and volume calculation accuracy.