As　a　new　structural　material,　fiber　reinforced　plastics　(FRP)　features　light　weight,　high　strength,　corrosion　resistance,　etc.,　and　has　a　bright　future　when　used　for　a　new　type　of　prestressing　tendon　in　engineering　structures.　The　pseudo-static　test　on　four　concrete　beams　under　low　reversed　cyclic　loading　is　introduced　in　this　paper.　Based　on　the　characteristic　of　measured　hysteresis　curves　of　concrete　beams　prestressed　with　FRP　tendons,　a　new　moment-curvature　hysteresis　model　is　proposed,　which　agrees　well　with　experimental　curves.