Fluid-solid interaction (FSI) is one of the most challenging problems in computational mechanics field. Also the demands of simulations for fluid-solid interaction problem are continuously increasing in the various industries. It is very difficult mission to obtain the numerical solution of FSI problems because of non-matching meshes along the fluid-solid interface. In this study, non-matching meshes on the fluid-solid interface are effectively connected by using variable-node element. The description of the presented scheme is posted on Fig.1. And, two numerical examples are posted to verify the performance of the present scheme.