Boundary Element Method is a numerical method used to solve integral equations using direct solver to produce an accurate results, which is considered one of its advantages. Its main disadvantage that it requires large computational efforts especially for large-size problems with complex geometries. Fast Multi-pole technique was proposed to reduce the needed computational efforts. In this paper, verifications of fast multi-pole technique based on boundary element method (BEM) against finite element commercial software and analytical solution are presented. Two numerical examples were used for verification purposes; cantilever plate and variable width fixed-end plate. Results show good agreement between both methods. When comparing the needed computational memory and time, it is found that the proposed fast multi-pole technique required less memory and time. Final conclusion that fast multi-pole technique overcomes one of the most important constraints against spreading the use of Boundary Element Method.