The samples of subwavelength hole arrays in metallic films are designed in order to verify the important role of periodicity in enhanced transmission of light. The samples were fabricated by Electron Beam Lithography (EBL), Focused Ion Beam (FIB) and Reactive Ion Etching (RIE) system. The comparison of optical transmission for the square and hexagon hole arrays shows that the SPPs play the important role in enhanced transmission. We further study the transmission through periodic H-shaped arrays in metallic thin films. The position of transmission peak shifts to the short wavelength by about 140 nm when the line width of H-shaped structure is increased from 120 nm to 200 nm. Our experiment and theory confirm again that the SPPs are the dominant element of the enhanced transmission. The simulation by using Transfer Matrix Method (TMM) reproduces quite well the obtained transmission spectrum.