With　the　development　of　sensor　technology　and　wireless　communication　technology,　edge　computing　has　a　wider　range　of　applications.　The　privacy　protection　of　edge　computing　is　of　great　significance.　In　the　edge　computing　system,　in　order　to　ensure　the　credibility　of　the　source　of　terminal　data,　mobile　edge　computing　(MEC)　needs　to　verify　the　signature　of　the　terminal　node　on　the　data.　During　the　signature　process,　the　computing　power　of　edge　devices　such　as　wireless　terminals　can　easily　become　the　bottleneck　of　system　performance.　Therefore,　it　is　very　necessary　to　improve　efficiency　through　computational　offloading.　Therefore,　this　paper　proposes　an　identity-based　edge　computing　anonymous　authentication　protocol.　The　protocol　realizes　mutual　authentication　and　obtains　a　shared　key　by　encrypting　the　mutual　information.　The　encryption　algorithm　is　implemented　through　a　thresholded　identity-based　proxy　ring　signature.　When　a　large　number　of　terminals　offload　computing,　MEC　can　set　the　priority　of　offloading　tasks　according　to　the　user＇s　identity　and　permissions,　thereby　improving　offloading　efficiency.　Security　analysis　shows　that　the　scheme　can　guarantee　the　anonymity　and　unforgeability　of　signatures.　The　probability　of　a　malicious　node　forging　a　signature　is　equivalent　to　cracking　the　discrete　logarithm　puzzle.　According　to　the　efficiency　analysis,　in　the　case　of　MEC　offloading,　the　computational　complexity　is　significantly　reduced,　the　computing　power　of　edge　devices　is　liberated,　and　the　signature　efficiency　is　improved.