Despite several confinement models available in the literature to calculate the axial behavior of fiber-reinforced-polymer (FRP) confined concrete columns at ambient conditions, a reliable design-oriented model to obtain the behavior of heat-damaged concrete columns post-confined with FRP is still lacking. This study aims to address this research gap, by proposing a new model that predicts the effects of FRP confinement on concrete elements with thermal-induced damage. This model proposes a closed-form formulation to derive a stress-strain expression, including a set of strength and strain sub-models to calculate the stress/strain information at transition and ultimate points defining the stress-strain response. To develop the model and calibrate its key components by data analysis of statistical treatment techniques, a large test database of FRP confined unheated/heat-damaged concrete of circular/square cross-section was collected. The proposed design-oriented model is able to demonstrate the influence of pre-existing thermal damage in terms of the stress-strain relationship, whose reliability is revealed comprehensively through predicting data from several experimental heat-damaged concrete specimens confined with FRP systems.