In　order　to　solve　the　influence　of　uncertainty　of　source　load　output　on　the　distribution　network　and　alleviate　the　degree　of　line　congestion,　an　interval　optimal　scheduling　method　for　distribution　network　with　flexible　resources　is　proposed.　In　this　paper,　when　dealing　with　the　uncertainty　of　the　power　supply　and　load,　firstly,　the　uncertainty　of　the　forecast　deviation　of　the　wind　and　load　is　considered　based　on　the　probability　box.　The　distribution　of　expected　value　and　variance　of　each　probability　box　is　calculated　according　to　the　historical　data,　and　the　shortest　interval　is　used　to　extract　the　confidence　interval　under　a　given　confidence　level.　With　the　upper　limit　of　line　transmission　capacity,　coordinate　distributed　gas　turbine,　energy　storage,　interruptible　load　and　other　flexible　resources　and　establish　an　optimization　model　with　the　comprehensive　operating　cost　of　distribution　network,　system　blocked　electricity　and　the　fluctuation　rate　of　net　load　interval　as　targets.　Solve　the　Pareto　optimal　solution　set　based　on　NSGA-II　algorithm.　Finally,　the　proposed　model　is　analyzed　and　verified　based　on　IEEE-33　node　system.　The　results　show　that　the　day-ahead　scheduling　based　on　this　method　can　effectively　reduce　the　risk　of　system　blocking　and　enhance　the　ability　of　the　system　to　deal　with　uncertainty.　©　2023　IEEE.