In　order　to　overcome　the　difficulties　of　the　large　number　of　stress　constraints　and　higher　cost　of　calculating　the　stress　sensitivities　in　the　topology　optimization　with　stress　constraints,　this　paper　proposes　the　structural　topology　optimization　ICM　method　with　stress　constraints　transformed　into　the　integrated　one　of　strain　energies.　Several　classic　examples　are　used　to　test　the　method,　the　results　suggest　that　the　method　has　higher　optimization　efficiency　and　optimal　structural　topologies　obtained　are　more　reasonable.