In　this　study,　a　re-centering　energy-dissipation　brace　with　a　pendulum　(REBP)　is　proposed　for　high-rise　structures.　The　REBP　can　consume　energy　by　friction　under　the　action　of　a　horizontal　external　load,　and　then　re-center　the　structure　by　means　of　cable　pretension　after　removing　the　load.　Through　the　lever　action　of　the　pendulum,　the　deformation　capability　of　the　REBP　is　significantly　amplified　with　the　small　deformation　of　the　cables,　and　can　satisfy　the　inter-story　drift　requirement　for　a　severe　earthquake.　The　REBP　is　optimized　from　a　prestressed　recentering　energy-dissipation　brace　(PTSEB)　previously　proposed　by　the　authors.　In　particular,　the　T-shaped　pendulum　in　the　PTSEB　is　replaced　by　a　truss　pendulum.　The　pendulum-wing,　vertical　bar,　and　diagonal　bars　form　a　truss　with　high　strength.　This　increases　the　initial　stiffness　and　energy　consumption　capability　of　the　REBP,　and　decreases　the　weight　of　the　REBP.　Two　semicircle　rollers　are　set　on　the　top　and　bottom　of　the　blocker　to　facilitate　its　rotation.　An　hysteretic　model　and　design　formulas　are　proposed　for　the　REBP.　Through　cyclic　testing　and　a　finite　element　(FE)　analysis　of　REBPs　with　five　different　cable　pretensions,　the　cyclic　behaviors　of　the　REBP　and　the　influences　of　cable　pretension　on　the　energy　consumption,　re-centering,　stiffness,　friction,　and　cable　tension　are　determined.　The　results　indicate　that　the　REBP　has　good　energy　consumption　and　a　good　recentering　capability.　An　increase　in　cable　pretension　leads　to　an　increases　in　the　friction　between　the　blocker　and　pendulum-wing,　energy　consumption　capability,　and　stiffness.