A 3\|D 8\|nodes hybrid stress element with a traction\|free cylindrial surface has been developed based on the Hellinger\|Reissner principle. The assumed stress field exactly satisfies the equilibrium equations as well as the traction\|free boundary condition. It also satisfies the compatibility condition when the element is degenerated into 2\|D case. Numerical results show that the special assumed stress element can be efficiently used for stress analyses around two circular holes in a thin or thick plate under bending.