In order to study the fracture behavior of FRP reinforced concrete beams with cracks, three point bending tests of AFRP, CFRP and GFRP reinforced concrete beams with cracks were carried out to analyze the fracture parameters. The conclusions can be drawn that, FRP material has obvious effect on crack resistance and reinforcement of concrete with cracks; the crack initiation load and unstability load of CFRP reinforced concrete beams are higher than those of AFRP or GFRP reinforced concrete beams, and the effect of crack prevention and reinforcement is the best. The failure modes of AFRP reinforced concrete beams and CFRP reinforced concrete beams are both peeling failure of concrete FRP interface at the bottom of specimens, while the failure mode of GFRP reinforced concrete beams is the tensile failure of GFRP at the bottom of specimens. Through the analysis of the mechanism of crack resistance and reinforcement of different kinds of FRP reinforced concrete beams, it is calculated that the crack initiation toughness and unstability toughness of CFRP reinforced concrete beams are the maximum, and the price of CFRP is moderate, which indicates that the performance price ratio of CFRP reinforced concrete beam with cracks is the best.