Abstract: An (ABBA)44-type one-dimensional photonic crystal was made from magnetic single -negative material A and electric single-negative materials B. Numerical calculation results indicate that there are three Tamm states in the range of 4500-7 500 nm with following characteristics. When the incident angle increases, the transmittance of Tamm states remain the same, but their location blue shifts. The shift rate of TE wave's Tamm states is larger than TM wave's at same incident angle. When geometric thickness of two media increases at the same time, the transmittance and the full-width half-maximum of Tamm states of TE and TM wave remain the same, but their location red shifts. When permittivity of A medium A increases, the transmittance of Tamm states of TE and TM wave remain the same, but their location red shifts, and their full-width half-maximum will be narrowed and then widened.