Traditional　form-finding　methods　usually　assume　that　the　boundary　conditions　of　cable　roofs　are　fixed　constraints　without　considering　the　influence　of　the　supporting　frame.　However,　the　cable　roof　interacts　with　the　supporting　frame　and　they　work　together　as　a　whole.　Pre-tensioning　for　cables　will　cause　the　deformation　of　the　supporting　frame　toward　the　center,　which　will　lead　to　the　deviation　between　the　actual　initial　equilibrium　state　and　the　target　design　result,　especially　the　interconnection　between　the　cable　roof　and　the　flexible　supporting　frame.　To　solve　this　problem,　the　interaction　mechanism　between　the　cable　roof　and　supporting　frame　was　first　analyzed　theoretically　in　this　study.　A　novel　form　finding　method　of　cable　roof　structures　integral　with　supporting　frames　was　proposed.　The　parameters　that　affect　the　form-finding　result　were　analyzed,　including　the　prestress,　the　stiffness　of　the　supporting　frame,　and　the　stiffness　of　the　cable.　For　the　convenience　of　engineering　applications,　this　method　was　developed　using　the　ABAQUS　software　and　was　compiled　in　the　Python　language.　According　to　different　types　of　cable　roofs,　two　form-finding　schemes　and　two　algorithmic　procedures　were　proposed.　The　form-finding　results　of　six　typical　cases　were　presented.　The　novel　method　was　confirmed　to　be　feasible　and　may　be　valuable　for　engineering　applications.　©　2022　Elsevier　Ltd