The contribution focuses on the modeling of the interface between Fiber-Reinforced Polymer (FRP) and concrete. The customized procedure designed for this purpose is to be integrated into the finite element models: taking into account the possible loss of bond action will possibly lead to more accurate predictive results. Within the numerical algorithm the relative position of the initially coincident nodes on the interface is updated. Before any loading is applied, the degrees of freedom of the coincident nodes are coupled to model a perfect bond. In the loading history, the relative slip between initially coincident nodes occurs in conformity with a predefined slip - stress relationship. The numerical procedure is tested by modeling the progressive loss of bond action in a single-lap shear test specimen. The utilized empirical data are found in literature sources.