This　paper　aims　to　examine　the　seismic　response　of　prestressed　self-centering　moment-resisting　frames　(PSC-MRFs)　based　on　concrete-filled　double　steel　tubular　(CFDST)　columns　and　RC　beams.　The　beam　of　this　novel　connection　is　divided　into　two　parts,　connected　by　bolts　and　tendons,　and　the　beam　includes　a　gap　opening　feature,　which　could　be　regarded　as　a　normal　single　beam　in　the　field.　Cyclic　loading　analysis　was　performed　on　one-story　frames　with　different　initial　parameters　arranged　in　adjacent　bays.　Nonlinear　dynamic　analysis　was　conducted　on　a　six-story　frame　under　two　seismic　hazard　levels.　The　cyclic　loading　analysis　showed　favorable　self-centering　performance　of　the　frame　even　when　the　hysteretic　energy　dissipation　ratio　reached　0.808.　Seismic　analysis　results　showed　that　compared　with　the　in　situ　reinforced　concrete　frame,　PSC-MRFs　generally　had　similar　maximum　inter-story　drifts　under　fortification　earthquakes,　but　the　residual　inter-story　drifts　were　reduced　by　33%;　under　rare　earthquakes,　the　maximum　inter-story　drifts　and　residual　inter-story　drifts　of　PSC-MRFs　were　reduced　by　22%　and　more　than　90%,　respectively.　In　the　adjacent　bays　on　the　same　story　of　PSC-MRFs,　connections　with　smaller　imminent　moments　of　gap　opening　opened　earlier　under　earthquake,　and　the　maximum　opening　angle　was　larger.　The　general　seismic　performance　and　self-centering　of　PSC-MRFs　was　significantly　more　advantageous　than　that　of　in　situ　reinforced　concrete　frames.