In　this　work,　using　two-particle　high-dimensional　orthogonal　projective　measurement　and　some　appropriate　unitary　operations　we　realize　the　joint　remote　preparation　of　an　arbitrary　two-particle　high-dimensional　equatorial　state.　The　total　success　probability　is　found　to　only　depend　on　the　coefficients　of　the　entangled　states　shared　between　the　two　preparers　and　the　receiver,　and　the　classical　communication　cost　is　also　calculated.　The　three-party　high-dimensional　case　is　extended　to　multi-party　high-dimensional　as　well.　Crown　Copyright　(C)　2011　Published　by　Elsevier　B.V.　All　rights　reserved.