Superplastic magnesium alloys prepared by ingot metallurgy and powder metallurgy were processed and characterized. By performing uniaxial tension and compression tests of the extruded alloys along the longitudinal direction, it was found that both alloys were highly symmetric at low-strain rates within the superplastic regime. However, near the maximum strain rate within the superplastic regime, the symmetric flow disappeared. Specifically, the flow stress in early deformation under tension was slightly lower than that under compression, and the strain hardening under tension was higher than that under compression. The asymmetry was explained using the hypothesis that grain-boundary sliding under tension is easier than under compression. As indirect evidence for easier grain-boundary sliding under tension, it was shown that the coarsened intergranular precipitates tended to agglomerate on grain boundaries experiencing a tensile stress.