Combining excellent pest resistance with high yield potential is important to the plant breeder in developing cotton (Gossypium hirsutum L.) cultivars and F₂ hybrids. One method to make decisions regarding the breeding value of F₂ hybrids is to compare the stability of cultivars, inbred lines, and F₂ hybrids over a range of environments. In this experiment, four cultivars, 16 germplasms lines and cultivars varying in pest resistance, and their 64 F₂ hybrids were grown in four environments to investigate the stability of relationships between lint yield and yield components and lint yield and fiber properties, as estimated by the genotype-grouping technique. Most parental genotypes performed consistently across the four environments; however, only three of the cultivar parents and Delcot 344 had high yields which were also stable over environments, giving a mean lint yield of 1292 kg ha^-1 and a coefficient of variability (CV) of 0.3% Twenty one F₂ hybrids produced high yields and were stable over environments, with a mean lint yield of 1331 kg ha^-1 1 and CV of 20.5%. High-yielding stable F₂ hybrids are more likely to occur from crosses in which one or both of the parental genotypes are also high yielding and stable. However, the genotypic stability can be inherited from parental population into their F₂ hybrids.