Nowadays, wireless power transfer (WPT) gradually prevails and many researchers has devoted themselves to it because it is a safe, convenient and reliable way for recharging electric vehicles comparing to the conventional plug-in contact-based methods . Square coils are one of the most commonly used in WPT systems. However, there is few theoretical analysis of self- and mutual inductance of square coils between two magnetic shielding materials. In this paper, in order to study the spatial magnetic field distribution, the analytical model of n-turn square planar spiral coils between two semi-infinite multilayer media is developed based on the Maxwell equations and the Dual Fourier transformation. And then, by means of surface integrals, the self- and mutual inductance can be carried out, with respect to the main parameters of the WPT systems such as the operating frequency, the geometry feature of the coupling coils and the properties of the multilayer media. This analytical models can be used to investigate the different characteristics of self- and mutual inductance of square coils with the variation of certain main parameter, which is helpful for optimizing the couplers’ geometries and the magnetic field distribution. To validate the proposed theoretical model, a 600 mm × 600 mm with a nominal 200-mm-gap prototype has been built. The prototype is between two multilayer media, and each of them is consist of the ferrite and aluminum substrates which is the basically structure of the charging pad using in the electric vehicle. At last this prototype is tested with the lateral misalignment.