This paper proposes a gold nanocross bi-layer Plasmonic Nanostructure Array (BPNA). This structural array consists of gold nano-cross hole array, silica array, and gold nano-cross thin sheet array unit structure.In order to explore the causes of Localized Surface Plasmon (LSP) and its transmission performance of this bilayer structure, observe the resonant coupling effect of plasma, The Finite-Difference Time-Domain (FDTD) method is used to calculate the electric field pattern of the transmission spectrum and x direction of this structure under different parameters.The increase of the cross hole width D can improve the transmission intensity and make the peak position of LSP blue shift, the increase of the thickness of the cross hole H can reduce the transmission intensity and slightly shift the LSP peak position, the increase of the length L of the cross hole can improve the transmission intensity and redshift the peak position of LSP. The increase of the width d of the cross lamella can increase the inhibition intensity and allow the LSP peak position to shift blue, the increase of the thickness h of the cross sheet can improve the inhibition strength and shift the peak position of LSP blue, the increase of the length l of the cross lamella can increase the inhibition intensity and redshift the peak position of LSP. The change of period T can shift the peak position of LSP blue.When the upper and lower layers exist, we obtain a new LSP peak and analyze its cause by electric field. By changing the thickness of the silica layer, it was found that the intensity and position changes of the two LSP peaks were related to the resonance coupling effect between the cross hole slit, and the cross sheet, where the first LSP peak was dominated by the cross hole slit and the second LSP peak was dominated by the cross lamina, but both peaks were affected by the resonance coupling between thecross hole and the cross sheet. In addition, the ideal medium also has an impact on its transmission propertiesIn order to obtain the high-performance transmission effect, we changed the structural parameters and calculated the Full Width Half Maxima (FWHM) and Figure Of Merit (FOM), and obtained higher FOM values and special transmission conditions. It has certain reference significance for the realization of high-performance LSP sensors and optics.