In the present paper, stability analysis of boron nitride and silicon carbide nanotubes/nanowires is carried out using di erent size-e ective theories, nite element method, and computer software. Size-e ective theories used in this paper include Modi ed Couple Stress Theory (MCST), Modi ed Strain Gradient Theory (MSGT), Nonlocal Elasticity Theory (NET), Surface Elasticity Theory (SET), and Nonlocal Surface Elasticity Theory (NSET). As for the computer software, ANSYS and COMSOL multiphysics are used. Comparative results of theories and software and literature are given in the result section. Comparative results are in good harmony. In conclusion, it is clearly seen that the nonlocal elasticity theory yields the lowest results for every modes and structures, while the modi ed strain gradient theory yields the highest results.