A Gaussian-shaped and double-side unsymmetrical groove structure is presented. Rigorous calculation of the optical properties of the structure is performed on the basis of a multiple multipole program. We analyse the effect of the grating period, the groove width and the film thickness on transmission and reflectance. Simulation results demonstrate that surface-plasmon-polariton resonance positions depend strongly on the structure period and can be changed slightly by the variation of incomplete perforation thickness, while the resonance peak values can be controlled by tuning the groove width. Our results not only give an insight into the physical mechanisms of the double-side unsymmetrical gratings, but also open a way to design novel nano-photonic devices.