The static conductivity and dielectric constant of two‐component periodic composite material are calculated using the Fourier expansion technique. The composite material consists of spheres that are arranged in simple, face‐centered, or body‐centered cubic lattices. The spheres may be isolated to yield high porosity or pore space, or they may intercept each other, leaving small pore space in between. The effective static conductivity and dielectric constant of such structures are computed theoretically when the pore space is filled with a material that has a conductivity or dielectric constant which differs from that of the matrix of the structure.