The　stability　and　accuracy　of　local　artificial　boundary　are　two　important　criterions　for　evaluating　its　applied　value　in　engineering.　A　stress　artificial　boundary　condition　was　developed　by　mixing　the　planar　waves　and　the　scattered　waves　transmitting　into　the　linear　elastic　infinite　media　through　artificial　boundary.　For　the　proposed　boundary　condition,　the　responses　of　boundary　nodes　and　finite　element　nodes　are　calculated　by　the　same　integral　method,　and　its　stability　condition　is　also　the　same　as　the　finite　element　integral　method.　Numerical　examples　demonstrate　that　the　accuracy　of　the　proposed　boundary　is　higher　than　that　of　existing　viscous　boundaries,　viscous-spring　boundaries,　the　first-order　transmitting　boundary　and　the　second-order　transmitting　boundary.