In this study, based on fitting a non-linear finite element model to experimental results from literature, a new model of the behaviour of the interface between concrete and fibre reinforced polymer (FRP) was proposed. An initial interface stiffness model was proposed based on the adhesive properties, to predict the strain distribution at low load. Comparison between the proposed model, test results and a previous model was performed to demonstrate the accuracy of the proposed model in predicting strain distribution at low load. The proposed model showed better agreement with test results of strain at low load than the previous model. In addition, shear strength and fracture energy models based on tensile strength of concrete and the adhesive shear modulus were proposed. According to the analysis the models provide a good estimation of ultimate load and strain distribution in FRP compared to test results. Finally, bilinear, trilinear and exponential bond-slip curves were compared. The results showed that the bond-slip curve shape has a minor effect on the behaviour of the concrete-FRP specimen.