The six genetic parameters of two durum wheat hybrids, were estimated under two experimental conditions (normal irrigation, N and water stress, D). This research was accomplished at the Experimental Farm of Shandaweel Agricultural Research Station, ARC throughout 2021/2022 to 2023/2024 seasons. Additionally, it aimed to evaluate the suitability of the genetic model controlling the inheritance patterns of seven economically significant attributes in durum wheat. The scaling test revealed evidence of non-allelic interactions across all traits investigated. The significance of additive and prevalence influences varies across traits and hybrids in both standard irrigation and water stress conditions. For all examined attributes in both crosses under the two irrigation conditions, dominance effects were generally more pronounced than additive effects. Exceptions included plant height in cross 1 under water stress while heading time, spikes plant^-1, kernels spike^-1 and biological yield plant^-1 in cross 2 under normal irrigation. This indicates that, in addition to the additive genes, dominant genes have a significant influence on the inheritance of such attributes. In most traits, the dominance × dominance interaction was more prominent compared to both additive × additive and additive × dominance interactions, implying that non-allelic and dominance interactions significantly influence these traits. Thus, it is recommended to delay selection to later generations where there is higher level of homozygosity. Heterosis significantly surpassed the superior parent scores for the attributes examined in the two crosses across both irrigation treatments, except for biological yield in cross 1 in normal irrigation. In most instances, heritability in both broad and narrow senses, along with genetic advancement, varied between moderate and high levels. These findings suggest that screening within differentiating generations can be a successful approach for developing early maturing lines with high yield potential under water stress conditions.