Assessment of yield stability is an important issue for maize (Zea mays L.) cultivar evaluation and recommendation. Manyparametric procedures are available for stability analysis, each of them allowing for different interpretations. The objectiveof the present study was to assess yield stability of maize hybrids evaluated in the National Maize Cultivar Regional Trialsin southwestern China using 20 parametric stability statistics proposed by various authors at different times, and toinvestigate their interrelationships. Two yield datasets were obtained from the 2003 and 2004 national maize cultivarregional trials in southwestern China. A combined analysis of variance, stability statistics, and rank correlations amongthese stability statistics were determined. Effects of location, cultivar, and cultivar by location interaction were highlysignificant (P<0.01). Different stability statistics were used to determine the stability of the studied cultivars. Cultivarmean yield (Y) was significantly correlated to the Lin and Binns stability statistic (LP, r=0.98** and 0.97** for 2003 and 2004trials, respectively) and desirability index (HD, r=0.38 and 0.84** for the 2003 and 2004 trials, respectively). The statisticsLP and HD would be useful for simultaneously selecting for high yield and stability. Based on a principal componentanalysis, the parametric stability statistics grouped as four distinct classes that corresponded to different agronomic andbiological concepts of stability.