The proposed circular patch antenna was designed to include relative bandwidth of above 25% as designed by the FCC in the FCC in the 3.1 ∼ 10.6 ㎓ band. The antenna was induced to have a wide band characteristic through two structures of the usual microstrip line and a microstrip line with a linear change in impedance. The proposed finally antenna was designed using an FR4_epoxy substrate with 4.7% permittivity, 0.02 of loss tangent, and 1.6 ㎜ of thickness, and was simulated with the use of HFSS made by Ansys. Return loss at frequency, VSWR, radiation pattern and the gain of the antenna were analysed. As a result, if satisfied a return loss of -10 ㏈ and VSWR≤2 from 2.28 ∼ 13.35 ㎓, showing about the bandwidth of 11.89 ㎓, and the radiation pattern was unidirectional in all bands. The antenna gain gradually increased from 2 ∼ 8 ㎓ and had the highest gain of 7.92 ㏈i at 8 ㎓. and the gain gradually decreased in the 9 ∼ 12 ㎓ band.