A necessary microstructural condition for the manifestation of the effect of superplasticity in alloys is a small grain size (d < 10 μm). The ingots of commercial magnesium alloys have a very coarse cast structure with d > 100 μm. We have studied the regimes of heat treatment of such materials in AZ91, AE42, QE22, and ZRE1 alloys with a purpose of obtaining a fine-grained structure. The optimum temperature of overaging of quenched magnesium alloys lies between 300 and 350°C. After hot pressing of heat-treated alloys, the average grain size is 6.4 (AZ91), 6.2 (AE42), 1.2 (ZRE1), and 0.7 (QE22) μm. The best characteristics of superplasticity are manifested by the ZRE1 and QE22 alloys with a relative elongation of 750% and strain-rate sensitivity m = 0.75 at T = 420°C and strain rate σ= 3 ×10-4 s-1. Under these conditions, the AZ91 and AE42 alloys have δ ≤ 260% and m = 0.45. © Allerton Press, Inc., 2007.