In this paper, the characteristic matrix method is employed to theoretically investigate properties of the defect mode in a 1D lossy symmetric defective photonic crystal containing two magnetized cold plasma defect layers. The considered photonic crystal is made of double-negative and double-positive materials. The defect mode, as a function of the magnetic field and the electron density, will be investigated in three different structures. The results show that the defect mode frequency can be tuned by variations of the magnetic field and the electron density as well. Due to the polarization-dependent magnetized cold plasma, the shift trend in the defect mode is shown to also rely on the polarization. The proposed structures could provide another alternative for the design of narrowband filters at microwave.