In order to achieve the function of multi-channel photonic filtering, the symmetric nested photonic crystals quantum well (BAB)_k (AB)_m (BAB)_n (BA)_m (BAB)_k is designed. The transmission spectra of photonic quantum well are calculated based on transmission matrix method. The effect of periods number of the well photonic crystals and refractive index on transmission spectral peak is analyzed. The results show that three groups of transmission peaks appear in the main forbidden band of photonic quantum well. Due to the coupling between the outer wells (AB)_m and (BA)_m , the second and the third groups of transmission peaks have dual-line structures. The numbers, location of transmission peaks and internal between the dual- line structures are related to the periods number of the well photonic crystals and refractive index. In the main forbidden band，there are 2m+n+3 (with odd number m) or 2m+ n+1 (with even number m) narrow transmission peaks. With the increasing of the periods number of the inner or outer wells, the frequency interval of the double lines becomes narrower, and the dual transmission peaks move closer to the center frequency. With the increasing of refractive index of high- refractive medium, the frequency internal between the double lines narrows down and the dual transmission peaks move away from center frequency. However, when the refractive index of low refractive index medium is increased, the frequency internal between the double lines will be broadened and the dual transmission peaks move closer to the center frequency. The results have a certain reference value for design of multi-channel photonic filter.