A symmetrical two-way Wilkinson power divider with shifted output ports, much wide bandwidth and large frequency-ratio is proposed for dual-band application. The corresponding transcendental design equations are derived by using the even-and odd-mode analysis. Moreover, the closed-form scattering parameter expressions are derived. Transcendental design equations are solved and accurate numerical design parameters along with different frequency ratios are obtained. Finally, the proposed structure and design method are validated by simulated and experimental results of typical microstrip planar power dividers, the performance is clearly observed for the input and output matching, isolation and transmission characteristic very well at the two band frequencies. More specifically, the measured transmission characteristics of the divider are 3.11 dB/3.58 dB at the 1.0 GHz/3.5 GHz, respectively.