This paper is intended to established the general method to solve static and elastic three dimensional problems under unconstrained conditions using Finite Element Method. The discrete governing equations can not be solved because the stiffness matrix of free-free bodys is singular. The modified equations is obtained from reducing the dynamic equilibrium equations under the constant velocity motion and the Rayleigh damping proportional to the mass matrix. The validity of computational method is confirmed by comparison of analytical results for three dimensional elementary problems.