Parents (P1&P2), F1,F2 Bc1 and Bcz of three bread wheat (Triticum aestivum, L.) crosses IRENA i PBW343, lRENA f GEMMEIZA 9 and Gemmeiza 9 f SIDS Y were grown during the three successive seasons, 200312004, 20049005 and 2005i2006 at the experimental farm of El-Gemmeiza Agric. Res Station, ARC, Egypt. The non- allelic interaction, scaling tests {A,B,C and D) coupled with six types of gene action were estimated in addition to determining the adequacy of genetic model controlling the genetic system of the inheritance of some economic traits. Heading date, maturity date, plant height, number ofspikesiplant, number of kernelsispike, 100 kernel weight and grain yieldipiant were studied. Analysis of variance indicated significant differences among the studied generations for all studied traits. Results indicated the presence of non-allelic interaction for the significant values in all traits and crosses except few casses in which the values did not reach the significant levels. In the six parameters model, the additive component (a) as well as dominance component (d) were significant In most casses. Additive x additive (aa) was significant in all casses except heading date and number of spikesiplant in the second cross (IRENAJGEMMEIZA 9) and number of spikesiplant and grain yieldiplant in the third cross Additive x dominance (ad) component was insignificant in the second cross (lRENAIGEMMEIZA 9) and third cross (GEMMEIZA QISIDSI') for number of spikesfplant and 100 kernel weight. Also, dominance x dominance (dd) was significant for all traits In all crosses except number of spikesiplant for second cross. Significant positive or negative heterosis values based on better parents values were obtained for all crosses and traits except in case of maturity date for the second cross. All crosses showed significant inbreeding depression except heading date in the first cross {IRENAJPBW 343). High heritability estimates in broad sense were observed for all studied traits for all crosses. Narrow sense heritability ranged from 13.89% to 66.34% for heading date in first and third cross, respectively. High genetic advance was associated with high heritability estimates for 100 kernel weight and grain yieldfplant. Moderate to low genetic advance were detected for other traits in the three crosses.