The surface wave band-gap characteristics for three typical curved EBG structures are studied in this paper. Using the suspending micro-strip method, the effect of curved EBG structure parameters and curvature on band-gap characteristics is analyzed. The results show that the effect of curvature is lesser, and only the center frequency of band-gap is slight decreased. The effect of substrate permittivity and dielectric thickness on band-gap characteristics is in agreement with that of the planar structure parameters. This conclusion is of certain guided significance in applying such kind of surface structures to cylindrical conformal antennas.