Carbon nanotubes (CNTs) have been the subject of intensive studies for applications in the fields of nanotechnologies in recent years due to their superior mechanical, electric, optical and electronic properties. Because of their high Young’s modulus (≈ 1 TPa), tensile strength (≈ 200 GPa) and high elongation (10-30%) as well as high chemical stability, CNTs are considered to be attractive reinforcement materials for light weight and high strength metal matrix composites. In this paper, we described a scheme for multi-scale modeling for the elastic and plastic properties of CNT/metal nanocomposites using the numerical analyses of the three-dimensional finite element method based on the continuum mechanics of a unit cell. In particular, the quantitative effects of the distribution and the array of the CNT reinforcement (viz. cross-over, vertical and horizontal distributions) on the elasticity and plasticity of the nanocomposites were investigated and the anisotropic characteristics of elasticity and plasticity of the nanocomposites were linked with the extremely high aspect ratio of CNTs.