Abstract: An (AB)N(BA)N typed one-dimensional photonic crystal was constructed from electric single-negative material A and magnetic single-negative material B, and the simulated result from transfer matrix method shows that there appears a tunneling mode in the band gap. The tunneling mode exhibits the characteristics that it moves toward short-wavelength direction and its FWHM becomes narrow with increasing of the incident angle . The greater the incidence angle is, the more obvious these change will be. When the geometric thickness of the medium layer is increased, the mode moves linearly toward long-wavelength direction. When either the permittivity A of medium A or the permeability B of medium B is increased, the mode moves non-linearly toward long-wavelength direction. In addition, a larger A or a smaller B will result in a narrower FWHM of the mode. However, the transmittance of the mode remains 1 all the time when changing those parameters above.