The behavior of the magnetic polarizability for two circular apertures in parallel conducting planes is investigated. The scattered potentials are expressed in terms of discrete and continuous modes based on the eigenfunction expansion and Hankel-transform. The boundary conditions are used to derive a set of simultaneous equations for the discrete modal coefficients. A fast convergent series representation for the magnetic polarizability is presented. The magnetic polarizability is calculated to illustrate the behavior of a magnetostatic potential penetration into apertures in terms of aperture geometry.