The effect of different alloying elements including Ni, Si and Al and various mass contents of these elements on the low frequency damping behaviors of magnesium alloys were investigated. The measurements of strain dependent and temperature dependent damping capacities of these magnesium alloys were carried out using dynamic mechanical analyzer (DMA), and the very different damping behaviors of these magnesium alloys were found. The hypoeutectic magnesium alloys with low solubility alloying elements such as Si and Ni shown extremely high damping capacities. But the Mg-Al alloys exhibited very low damping values. The tensile properties of these magnesium alloys were also illustrated in this study. It was found that hypoeutectic Mg-1.0%Si alloy possess the excellent overall properties with high damping capacity, relatively high tensile properties and good corrosion resistant ability.