Advanced high strength steels (AHSS) have been extensively used in the automotive industry for vehicle weight reduction. Although AHSS show better parental metal fatigue performance, the influence of material strength on spot weld fatigue is insignificant. To overcome this drawback, structural adhesive was used along with spot weld to form weld-bond joints, which greatly improved spot weld fatigue performance and joint stiffness of the downgaged AHSS structures. In this study, the formulation of cohesive element based on Cohesive Zone Model (CZM) was employed to predict the onset and propagation of failure in the adhesively bonded joints in lap-shear and coach-peel specimens under quasi-static loadings. The predicted responses were compared with experimental results with good agreement.