Fiber　reinforcement　polymers　(FRPs)　have　high　strength;　they　are　well　suited　for　prestressing　tendons　in　corrosive　environment.　Concrete　structures　prestressed　with　FRP　tendons　usually　exhibit　brittle　failure　models　due　to　the　brittle　nature　of　the　FRP　composites.　Based　on　different　mechanical　properties　of　prestressed　concrete　structures,　a　combination　of　bonded　and/or　unbonded　prestressing　tendons　was　used　in　order　to　improve　the　ductility.　This　paper　presents　a　nonlinear　analysis　method　of　concrete　beams　prestressed　with　FRP　tendons　based　on　ANSYS　software,　the　reasonable　position　of　FRP　tendons　are　detailed　discussed.　The　results　of　nonlinear　finite　element　analysis　showed　that　if　the　reinforcement　of　prestressed　beam　was　the　same,　the　carrying　capacity　of　concrete　beam　prestressed　with　bonded　FRP　tendons　was　highest;　the　capacity　of　unbonded　prestressed　beam　was　secondly,　and　the　external　unbonded　prestressed　beam　without　deviators　was　lowest.　By　combination　of　different　FRP　tendons,　or　different　tension　ratio,　or　different　placement,　the　properties　and　failure　models　of　concrete　beams　prestressed　with　FRP　tendons　can　be　improved.　©　2011　IEEE.