The one-dimensional photonic band gap of symmetrical structured consisting of the cycle unit of three single-negative materials in the form of (ABC)M(CBA)M are studied by the transfer matrix method. The results show that this kind of symmetrical structured one-dimensional photonic crystal has a special photonic band gap whose sensitivity to the angle of incidence is related to the nature of the light waves. TE wave high-frequency passband will move to the central frequency with the increase of the angle of incidence. The angle gap at the high-frequency band simultaneously enlarges with the increasing of the incident angle. But TM wave passband is not sensitive to the angle of incidence. When the ratio of the thicknesses of three media is unchanged, and the dielectric layers thickness is exponentially increased, high-frequency passband and low-frequency passband respectively shrank and narrowed, moving to the central frequency, and the low-frequency passband first disappears. When varying the ratio of the thicknesses of three media, keeping the A and C layer thickness unchanged and reducing the B layer thickness, high-frequency passband and low frequency passband respectively move to both sides and contract themselves at the same time. Maintaining the B layer thickness and increasing the A and C layer thickness, the high-frequency passband and the low-frequency passband are both shrunk, the low frequency passband first disappears. They all lead to the brodening of the band gap. We also found that the passband width of multiple heterostructures whose average permittivity and permeability are gradually narrowed with the increase of the lattice constant. This feature can be used to design omni-directional single-channel filters, and omni-directional zero-phase-shift filters.