A　fatigue　crack　growth　rate　model　introducing　corrosion　damage　is　proposed　in　this　paper,　where　the　fracture　parameter　is　modified　by　the　damage　variable　and　the　exponential　influence　factor.　The　corrosion　damage　mechanism　is　coupled　to　the　crack　growth　rate　model,　which　quantifies　the　influence　of　the　environment　and　reflects　the　interaction　between　corrosion　and　fatigue.　To　accurately　predict　the　corrosion-fatigue　crack　growth　life　by　the　extended　finite　element　method　(XFEM),　a　simple　crack　surface　updating　method　is　developed.　This　method　does　not　depend　on　the　complex　level　set　marching　algorithm　which　often　brings　serious　computational　convergence　problem,　so　it　has　good　robustness　and　high　efficiency.　Moreover,　the　stress　intensity　factors　at　arbitrary　crack　tip　can　be　calculated　by　combining　the　interaction　integral　method　and　the　piecewise　interpolation　method,　so　it　is　suitable　for　the　double　crack-tip　problem.　The　corrosionfatigue　crack　growth　life　is　calculated　based　on　the　cycle-by-cycle　method　and　the　corresponding　algorithm　is　developed.　The　corrosion-fatigue　crack　growth　life　can　be　accurately　predicted　by　calculating　the　corrosion　damage　and　crack　propagation　length　under　each　load　cycle.　In　this　paper,　sufficient　examples　are　given　to　verify　the　accuracy　of　the　proposed　method　in　simulating　crack　propagation　path　and　predicting　corrosion-fatigue　life.　Finally,　this　method　is　well　applied　to　a　practical　engineering　structure.