In this paper, the global-local homogenization method is applied for two kinds of equivalent continuum models to analyze the effective mechanical properties of single-walled carbon nano tube (CNT). The material and geometric parameters are provided by equating the molecular potential energy of nano-structure material with the strain energy of equivalent continuum tube and equivalent continuum frame. The results show that global-local homogenization method is effective to investigate the mechanical properties of single-walled nano-structure with a reasonable selection for equivalent continuum models (representative volume element RVE). The variations of the effective Young’s modulus with chiral parameters, thickness of models and poisson’s ratio of carbon nanotube are discussed for both zig-zag and armchair configurations. Comparing with the results from other classical methods, the homogenization method with equivalent continuum models can give moderate and stable results.