A five-level 87Rb atomic system which is coherently driven by two standing-wave fields and a microwave field is investigated, and tunable triple photonic band-gaps at different resonance frequencies are obtained. The density-matrix equations are used to describe the interaction between fields and multi-level atoms, and the transfer-matrix method is used to describe the propagation of light in periodic media. The reflection spectra and transmission spectra of the coherent atomic system are deduced in the steady condition. The numerical simulation show that the positions and widths of the photonic band-gaps can be controlled by the detuning of the coherent fields and the Rabi frequency of the microwave field, and the type of triple photonic band-gaps can be applied to simultaneously manipulate the propagation of light pulses with three different central frequencies.