This study uses the transfer matrix method to compute the transmission properties of electromagnetic waves within the microwave region of the one-dimensional extrinsic magnetized plasma periodic multilayer. The layer thicknesses of the extrinsic photonic structure were determined by the spatially varying external magnetic field. Apart from a few photonic bandgaps, a cluster of the resonant peak was noticed within the microwave region in the absence of a defect layer. The envelope of such resonant peaks was controlled by changing the layer's thickness, the strength of the external magnetic field and the electron density of the magnetized cold plasma. With these features, periodic extrinsic magnetized plasma photonic crystal would offer a potential for designing a tunable multi-resonance periodic multilayer Fabry-Perot resonator for microwave applications.