In　this　paper,　Daubechies　(DB)　wavelet　is　used　for　solution　of　2-D　plain　elastic　problems.　Because　the　DB　wavelet　scaling　functions　are　directly　used　in　function　approximation,　neither　nodes　nor　meshes　are　needed　in　this　method.　Using　the　ideas　of　some　meshless　methods,　the　solution　formulations　for　two-dimensional　elastic　problems　are　established.　In　order　to　treat　general　boundaries　and　improve　the　efficiency　and　accuracy　in　solution,　a　method　for　evaluation　of　integrals　is　proposed.　Numerical　examples　of　2-D　elastic　problems　illustrate　that　this　method　is　effective　and　stable　and　it　is　promising　to　solve　more　complicated　problems　in　solid　mechanics.　(C)　2009　Elsevier　Ltd.　All　rights　reserved.