With two dimensional finite-difference time-domain (2D-FDTD) method, filter characteristics of a Sinc-shaped surface plasmonic filter are studied in the visible light band. The results show that, each transmission curve exists in a wide forbidden band, the position of the forbidden band is affected significantly by the height of the Sinc function, the maximum groove depth and the groove width, and weakly by the half-width of the main petal, the period of the slots and the horizontal groove width of the channel. Compared with 1.55 μm band, the width of the forbidden band is more narrow, and both sides of the passband band also are lower. This work would provide a theoretical reference for the design, production and application of surface plasma filters.