In the steel plate shear wall, the thin steel plate is connected to the boundary elements, Therefore, forces transfer from the panel to the columns and increase the required cross sectional area of the columns. Separating the steel panel from the columns, reduces the seismic demands on the columns and prevent from the premature failure of the columns and the collapse of the entire structure. However, this technic decreases the lateral resistance of the system, therefore in such a case, using high yield steel (HYS) for the panel or utilizing a thicker steel plate may be required. In this paper, the seismic behavior of the steel plate shear walls connected to frame beams only (SSW-BO) is studied through nonlinear finite element analysis by ABAQUS software. After validating the numerical model against available experimental results, the effect of the edge stiffeners on the behavior of SSW-BO is explored. Based on the results, changing the edge stiffener cross section does not influence the seismic behavior, the stiffness, the lateral resistance and the dissipated energy of SSW-BO if the stiffeners are not connected to the top and bottom beams. However, connecting the stiffeners to the beams, drastically improve the seismic behavior and hysteretic characteristics of SSW-BO. It should be noted that, in such a case, greater forces may apply to the beams which should be considered in the seismic design of these members.