The diffusion of fluids in porous media, composed of regularly aligned plate-like obstacles, was studied by Monte Carlo simulation. The diffusion coefficients and all diagonal components of the diffusion tensor were estimated for these media. The calculated tortuosities were modeled as a function of porosity by using the Koponen's equation related to percolation threshold. These results indicated that a media with a homogeneous porosity has a heterogeneous tortuosity, is affected by the alignments of the plate-like obstacles. Furthermore, the calculation results were compared with the experimental results for fixed perpendicular plates of Comiti and Renaud as a function of porosity. The results for tortuosity compared well for porosity larger than 0.86.