Stability, a key concept in agricultural research, is used to analyze genotype-environment interactions (GEI) by examining the variance across different environments. A field experiment was conducted in the semi-arid region of eastern Algeria over five growing seasons (2015-2020) to assess the stability of grain yield in two cereal crops (durum wheat and bread wheat) and identify genotypes yielding high and consistent yields. Parametric indices, calculated using the STABILITYSOFT program, were used for this purpose. Based on various stability indices such as Wricke's ecovalence (Wi2), Shukla's stability variance (σ2i), and the GE variance component (θ(i)), the bread wheat genotypes Wifak and HD1220 demonstrated stability over the growing seasons. The Waha genotype exhibited high stability and adaptability with a significant average grain yield, according to the regression coefficient (bi). The relationships between different stability statistics placed the Bousselem and Waha genotypes in the dynamic stability group with the highest grain yield. In conclusion, the durum wheat genotype MBB was found to be the most stable and well-adapted to semi-arid conditions, combining high grain yield and stability indices.