The design and application of omnidirectional and multiple-channeled filters with high-quality (high-Q) factors applied by using photonic heterostructures containing single-negative materials is demonstrated. Through adjusting the period number of the heterostructures, the number of the resonance modes can be controlled, and the resonance modes are then insensitive to the incident angle. With perfect transmission, controllable mode, and omnidirectional channel, this structure opens a promising way to fabricate omnidirectional and multiple-channeled filters for future dense wavelength division multiplexing applications. The effect of the losses of single-negative materials on the filters is also considered.