The　integration　of　multiple　Global　Navigation　Satellite　Systems　(GNSSs),　such　as　the　Chinese　BeiDou　Navigation　Satellite　System　(BDS)　and　the　American　Global　Positioning　System　(GPS),　makes　it　possible　to　improve　the　accuracy　of　single-point　positioning　(SPP).　However,　the　current　accuracy　of　GNSS　SPP　with　code　measurement　is　on　the　order　of　several　meters.　In　order　to　further　improve　SPP　accuracy,　we　develop　a　multistep　weighted　least　squares　(MWLS)　estimation　method　based　on　the　elevation-dependent　weighted　least　squares　(EWLS)　method.　In　this　approach,　the　weight　of　each　visible　satellite　is　determined　by　its　elevation　and　azimuth,　and　the　coordinate　components　are　semi-independently　and　separately　calculated　by　MWLS.　We　conduct　open-sky　and　blocked　static　tests　as　well　as　a　vehicle-based　kinematic　test　using　single-frequency　receivers　to　assess　the　effectiveness　of　this　approach.　Comparing　the　positioning　errors　of　GPS　and　GPS/BDS　SPPs　between　the　MWLS　and　EWLS　methods　shows　that　the　former　improved　the　positioning　accuracy　more　than　the　customary　latter.　Specifically,　MWLS　achieves　a　horizontal　accuracy　of　about　1　m　and　a　positional　accuracy　of　2　to　3　m　in　clear　observational　environments,　about　15%　better　than　ELWS.　(C)　2019　Society　of　Photo-Optical　Instrumentation　Engineers　(SPIE)