In order to explore the internal mechanical behavior of the tendon bond-type anchor made of the carbon fiber reinforced composite (CFRP) reinforcement in civil engineering and optimize the design of anchor, a prediction model of the bearing capacity of the bond-type anchor is established in this paper. From the prediction model, we can obtained the calculation method of the critical anchorage length. The relationship between the residual cohesive force of the interface of the anchorage zone and the interfacial radial stress was obtained by the pull out test of the CFRP bar anchor. The influence of the diameter of CFRP bar and the radial compressive stress at the anchorage interface on the bearing capacity and critical anchorage length of the anchorage is evaluated. The results showed that when the radial compressive stress of the boundary surface is within the range of 0 ~ 160 MP, the maximum pulling force, the maximum interfacial bonding force and the residual adhesion force of the interface increased linearly with the increase of the radial compressive stress of the interface, and the residual bond strength could reach 20.5 MPa. The calculated bearing capacity of the anchorage increased linearly with the increase of CFRP diameter or radial compressive stress, whereas the critical anchorage length decreased with increasing radial compressive stress. The critical anchorage length of the 10 mm diameter micro pressure stripe surface type CFRP tendons was 427 mm when the radial stress of the interface was 150 MPa and the anchorage safety factor is 1.5.