In　this　paper,　a　method　for　volume　error　calibration　of　a　coordinate　measuring　machine　(CMM)　is　proposed,　which　is　based　on　the　inverse-distance　weighting　(IDW)　algorithm.　The　volume　errors　of　the　CMM　spatial　measurement　points　arc　firstly　obtained　using　the　laser　tracing　multi-station　measurement　technique　combined　with　the　Levenberg-Marquardt　(L-M)　algorithm.　Subsequently　the　(L-M)　algorithm　is　used　to　spatially　interpolate　the　volume　errors　of　the　measurement　points　and　thus　the　volume　error　of　any　point　in　the　whole　measurement　space　of　CMM　is　obtained.　The　experimental　results　show　that　the　(L-M)　algorithm　has　low　requirements　for　measurement　paths,　high　interpolation　accuracy,　and　an　error　coincidence　degree　of　higher　than　96%　for　volume　error　in　each　direction.　The　research　results　provide　a　reference　for　the　selection　of　the　optimal　measurement　position　for　workpieces　in　the　measurement　space.