The transmission spectra of the model of photonic double quantum well consisting of two photonic crystals with two different single-negative materials are calculated by the transfer matrix method. It is found that these resonance modes split into pairs, owing to a coupling between two photonic wells. The distance of resonant modes can be controlled by the coupling strength between the two wells. It is observed that when two photonic quantum wells are far from each other, resonance modes appear as single peak. And the quality factors of the transmittance resonance peaks can be greatly improved by increasing the period number of outer barriers. The resonance modes are affected weakly by the incident angle and polarization. The effects of the losses coming from epsilon-negative and mu-negative materials on the resonance modes are also specifically explored, respectively.