Young＇s　modulus　distribution,　a　significant　parameter　of　a　functionally　graded　material,　is　investigated　to　reduce　the　stress　concentration.　An　evolutionary　optimization　algorithm　of　Young＇s　modulus　is　developed.　A　power　law　function　is　adopted　to　control　the　Young＇s　modulus　evolution　process,　and　the　selection　criterion　of　the　power　law　index　is　presented　and　evaluated　with　an　evaluation　model.　The　degree　of　the　stress　concentration　is　represented　by　the　stress　concentration　factor　and　is　defined　as　the　objective　function.　A　finite　element　analysis　is　performed　to　obtain　the　stress　distribution.　The　effectiveness　of　the　Young＇s　modulus　design　for　reducing　the　stress　concentration　is　verified　based　on　two　cases.　The　results　indicate　that　the　stress　concentration　factor　together　with　the　maximum　stress　could　be　reduced　simultaneously.　The　evolutionary　optimization　algorithm　of　Young＇s　modulus　developed　in　this　paper　provides　an　effective　approach　for　the　optimal　design　of　functionally　graded　material　for　stress　concentration　reduction.