In this paper a numerically derived absorbing boundary condition has been introduced to apply to the on-surface radiation condition (OSRC) method for the solution of open region scattering problems.Numerical results for perfectly conduction and homogeneous penetrable circular cylinder are presented and compared with the solutions by using second-order differential operator B2 type absorbing boundary condition.It is shown that the accuracy of OSRC method can be significantly Improved by using this kind of numerical absorbing boundary condition.