We intended to prepare $Mg_3Sb_2$ compound bodies through solid state reactive sintering after cold-pressing mixtures of elementary Mg and Sb powders and investigated the crystal phases of the sintered bodies according to Mg/Sb mole ratios and reaction temperatures. The $Mg_3Sb_2$ bodies sintered at the temperatures of 773~843 K showed typical crystalline phases of $Mg_3Sb_2$ compounds, but their diffraction angles in XRD patterns were slightly different along with the vertical axis of the bodies obtained. All the bottom parts of the sintered $Mg_3Sb_2$ bodies were composed of the typical crystalline phases of $Mg_3Sb_2$ compounds and their diffraction angles were completely in accord with those of the ${alpha}-Mg_3Sb_2$ phase, when Mg : Sb = 3.15 : 1.85 at 823 K, or when the Mg moles were greater than or equal to 3.10 at 843 K. It was considered that the slightly remaining Mg phases were formed by precipitation from ${alpha}-Mg_3Sb_2$ phases during the solidification process of liquid phase.