Based on the MHD model, distribution of the currents in Martian space is calculated. The results show that there are 4 categories of currents, i.e., the bow-shock current, magnetic pileup boundary current, the ionosphere current and the magnetotail current in Martian space. Currents flow on the surface of the bow-shock independently, which direction are perpendicular to the interplanetary magnetic field direction, with the peak current density located around the subsolar point. At dayside, the magnetic pileup boundary current closes through the ionosphere; while at nightside, magnetic pileup boundary current couples with central current sheet in the magnetotail to form a complete circuit. Magnetotail central currents near Mars within 1.2Rm affected greatly by the ionosphere, would be separated for two or more current slices coupling together. The strength of ionosphere current, flowing from south to north, is the biggest in all, more than 100nA·m-2 in average; and the strength at dayside is bigger compared to that of the nightside.