Multiband bandpass filters (BPFs) are one of the core elements in the multi-services wireless communication systems. For this purpose, this paper presents a design of a compact multiband microstrip BPF design based on fractal open loop configuration. The proposed filter structure is composed of an array of equal side length open-loop resonators; each with different fractal iteration level. More specifically, the modified Minkowski fractal geometry has been adopted to be applied to the conventional openloop rectangular resonator. The resulting filter configuration has an array of different open-loop structures corresponding to various iteration levels. The simulation of the presented filter is performed using the EM Sonnet software package environment. The proposed filter is printed on a substrate of dielectric constant is 10.8 with thickness 1.27 mm. A filter structure with three resonators having different fractal iteration levels offers a triple band frequency response around 3.05 GHz, 2.05 GHz, and 1.68 GHz. Each of the three resonant bands is attributed by a distinct resonator according to the iteration levels. Additional resonant bands can be realized using extra loops with higher iteration levels.