The body force method is used to perform stress analysis around two circular holes with equal and different sizes in an infinite plate subjected to uni-axial loading. The elasticity solution for a point force in an infinite plate is used as the fundamental solution. Traction free boundary conditions are satisfied at the midpoint of segments. Stress concentration factors obtained by body force method are compared with the results available in the literature. It is noted that accurate results are obtained with a small number of segments of the discontinuity. The body force method is simple, yet robust method useful in performing stress analysis of bodies with discontinuities.