Abstract: Structure buckling analysis was investigated using ANSYS finite element theory. The numerical analysis of the delamination buckling was made to the thin rectangular plate which is affected by fiber bridges, basing on the finite element theory. The result shows that the critical load of the delamination buckling is greatly enhanced taking the fiber bridges into consideration. The mode of buckling is grown in the postbuckling of the delamination and the multiple modes are excitated. The partialbuckling phenomena also happen after the buckling. The greater the constrain stiffness, the smaller the buckling region. And the range of the patialbuckling is more closer to the end in which the load is applied. The characteristic length of the delamination buckling, that which is the length of half wave, decreases and the critial load increases as the increasing of the stiffness.