This research presents the two-dimensional characterization of the ion current density profile of a 10 cm-class microwave discharge ion thruster (μ10), employed in deep-space missions such as Hayabusa, Hayabusa 2, and DESTINY+. For this study, a 13-Faraday probe array was newly developed. The Faraday probe array is vertically aligned and swept horizontally, enabling reconstruction of the two-dimensional cross-sectional ion current density distribution. For the Hayabusa 2 thruster, the analysis demonstrates that the peak ion current density occurs immediately adjacent to the antenna, confirming that the highest current is concentrated precisely in this region. Although an azimuthal asymmetry in the ion current density profile is observed, the center of thrust (CoT) deviates by less than 2 mm from the mechanical center, with measured offsets of 0.62 mm along the x-direction and -1.40 mm along the y-direction.