An accurate design method for rectangular microstrip patch antenna that can be applied to wide range of frequencies (C-band to X-band) is proposed. With due regard the frequency dependent effective dielectric permittivity to design formula, the inaccuracy of previous design formulae can be overcome. The results predicted by new procedure are compared well experimental results that had varying operation frequencies between 7GHz and 15GHz. Antennas are fabricated over microwave substrates with the same dielectric permittivity and thickness. Radiation power patterns are also measured and they well with theoretical values.