With　the　integration　of　most　distributed　energy　resources　or　loads　managed　by　aggregators　into　the　distribution　systems,　a　deviation　will　be　observed　between　the　bids　of　the　aggregators　and　the　actual　power　output　in　the　electricity　market　if　the　constraints　of　the　distribution　systems　are　not　taken　into　consideration　by　the　aggregators,　which　will　bring　deviation　penalties.　To　this　end,　a　bi-level　bidding　model　is　hereby　proposed　for　aggregators　considering　the　safety　check　of　the　distribution　system.　The　upper　level　considers　bidding　to　maximize　the　profit　of　each　aggregator　and　introduces　the　safety　check　of　the　distribution　system　as　the　lower-level　problem.　To　ensure　the　safe　operation　of　the　distribution　system　and　reduce　the　power　deviation　of　the　bidding　plan　of　the　aggregator,　the　node　voltage　deviation,　active　power　margin　of　transmission,　and　the　bidding　ratio　deviation　rate　of　each　aggregator　are　taken　as　the　optimization　goals　of　the　distribution　system.　Additionally,　the　data　privacy　of　each　aggregator　is　preserved　by　using　the　alternating　direction　method　of　multipliers　to　decompose　a　bidding　problem　of　aggregators　considering　the　safety　check　of　the　distribution　network　into　subproblems　solved　separately　and　in　parallel.　Finally,　the　rationality　and　effectiveness　of　the　proposed　method　are　illustrated　using　a　modified　IEEE33-bus　system.　©　2023,　The　Author(s),　under　exclusive　licence　to　Springer-Verlag　GmbH　Germany,　part　of　Springer　Nature.