A four-pole quasi-elliptic function bandpass filter is designed and fabricated using a miniaturized microstrip square Stepped Impedance Resonator (SIR). The Nonuniform Finite Difference Time Domain (NUFDTD) method is used to design the resonator and to calculate the coupling coefficients of three basic structures. Theoretical and experimental results are presented. This filter is not only compact size but also has a wide upper stop band.