The micro flows through two-dimensional (2D) and three-dimensional (3D) granular porous media at various Knudsen numbers are studied by using the lattice Boltzmann method. For 2D cases, the correlation between the permeability, the porosity, and the Knudsen number is derived. For 2D cases, the correlation can estimate the permeability well except for the staggered square cylinder. The permeability of the porous media, which have the inclusions of different sizes, is calculated. For 3D cases, simulations for the uniform overlapping and non-uniform non-overlapping granular media are carried out. The results are compared with the correlation of previous study. The effect of rarefaction on the permeability is also discussed.