The symmetrical structured one-dimensional photonic crystal in the form of (AB)N(BA)N, is prepared and studied by transfer matrix. The results show that this kind of symmetrical structured one-dimensional photonic crystal has a special photonic gap which is insensitive to the incident angle and the disorder of the lattice. Two tunneling modes appear in this gap which are also insensitive to the incident angle and the disorder of the lattice. But the energy bands and tunneling modes of the gap are sensitive to change in the scale length of crystal lattice and the number of periodicities. With the increasing of incident angle the tunneling modes on both sides of the gap tend to degenerate. This characteristic will have a certain reference value for designing a filter with this kind of structure.