Aggressive atmosphere and ground water increases the risk of corrosion of embedded reinforcement in concrete. Fiber Reinforced Polymers (FRP) bars and cables have proven as good answer to the corrosion problem. However, the structural behavior of concrete prestressed with FRP tendons has not been fully explored. The purpose of this research work is to assess the effects of some structural parameters on the behavior of prestressed concrete bridges with FRP prestressing tendons. Three-dimensional nonlinear finite element method (3D-NL-FEM) is used. Different models of prestressed concrete bridge tensioned with FRP cables-subject to four-point load system have been modeled and structurally analyzed on a commercial finite element analysis (ANSYS, 2013). A parametric study was conducted to examine the effects of prestressing reinforcement ratio, concrete compressive strength, and level of initial prestressing on the behavior. Three types of FRP cables are used: carbon fiber (CFRP), aramid fiber (AFRP), and glass fiber (GFRP). All the studied parameters affect the strength capacity, ductility and failure modes of the FRP-prestressed beam models.