The　intermediate　joint　is　the　main　fault　position　of　10　kV　cable，and　the　installation　of　explosion-proof　box　can　effectively　avoid　short　circuit　development　of　10　kV　cable.　In　view　of　the　blindness　on　the　structure　design　of　intermediate　joint　of　existing　10　kV　cable，a　kind　of　structure　optimization　method　of　explosion　proof　box　of　10　kV　ca-　ble　intermediate　joint　based　on　the　response　surface　method　is　proposed.　Firstly，the　explosive　dynamic　response　in　a　steel　cylinder　is　taken　as　the　object，the　simulation　using　the　software　Ls_dyna　is　performed，and　the　accuracy　of　the　explosion　impact　calculation　model　is　verified　by　comparing　with　experimental　results.　Secondly，the　deformation　de-　viation　of　explosion　center　torus　in　an　explosion-proof　box　with　pressure　relief　holes　is　taken　as　the　dependent　vari-　able，parameter　sensitivity　analysis　is　performed　by　means　of　response　surface　test　design　method.The　results　show　that　the　diameter　of　end　section　and　thickness　of　box　are　the　two　main　influence　factors.　Then，an　evaluation　function　of　the　peak　deformation　deviation　of　explosion　center　torus，the　peak　stress　of　head　center　and　the　weight　of　explosion-　proof　box　is　set　up，thus　the　optimal　values　of　the　diameter　of　end　section　and　thickness　of　box　corresponding　to　the　minimum　of　response　is　obtained.　Finally，a　simulation　model　of　internal　explosive　dynamic　response　is　rebuilt　and　a　short-circuit　arcing　test　is　carried　out　to　verify　the　correctness　of　optimization　results.　The　research　results　can　provide　a　reference　for　the　optimization　design　for　the　structure　of　the　explosion-proof　box　of　the　intermediate　joint　of　cable.　©　2023　Xi＇an　High　Voltage　Apparatus　Research　Institute.　All　rights　reserved.