In　order　to　improve　the　accuracy　of　large-scale　CMMs　and　correct　spatial　geometric　errors,　the　laser　tracing　multi-station　measurement　method　was　used,　instead　of　physical　benchmark,　to　solve　CMM　geometric　errors　based　on　the　elastic　net　algorithm.　Based　on　laser　tracing　multi-station　measurement,　combined　with　L-M　algorithm,　the　high-precision　measurement　of　the　volume　errors　of　CMM　space　planning　points　was　realized,　and　the　measuring　efficiency　was　improved.　The　elastic　net　algorithm　was　used　to　solve　CMM　quasi-rigid　body　model,　and　the　problem　of　multicollinearity　in　the　model　solutions,　and　to　realize　the　solution　of　geometric　errors　of　the　CMMs.　The　relationship　model　between　volume　errors　and　uniaxial　geometric　errors　was　combined　with　the　part　of　coefficients　of　0　in　equations　to　solve　geometric　errors.　In　the　experiments,　a　laser　tracing　multi-station　measurement　system　was　built,　and　the　volume　errors　of　the　CMMs　spatial　planning　points　were　measured.　The　results　show　that　the　method　proposed　herein　may　effectively　solve　the　geometric　errors　of　large-scale　CMMs.　©　2022,　China　Mechanical　Engineering　Magazine　Office.　All　right　reserved.