An analytical model was developed using finite-element software to simulate the load-transfer mechanisms between concrete and strengthening strips of carbon-fibre-reinforced polymer. The strips were bonded to the concrete surface and additionally fixed with fan-type carbon-fibre-reinforced polymer anchors. The model was developed using the results of 14 pull tests on concrete blocks strengthened with variously sized and anchored strips. The anchors were represented by increasing the bonding strength in the anchor contact area. The numerical results were compared with experimental results and showed good correlation. The model was then used to investigate the influence of strip width and length, number of anchors and concrete strength on load-transfer behaviour. Finally, a mathematical model was proposed for calculating the bond strength between concrete and a bonded and anchored carbon-fibrereinforced polymer strip.