Non-allelic  interaction  scaling test (A, B, and C) coupled with joint scaling test x₂  and six parameters model were applied to test the adequacy  of genetic model and estimates the genetic components for days to heading, flag leaf area,  number of spikes / plant, number  of grains/spike,  1000-grain  weight and grain yield/plant using  six  populations  (P₁,   P₂,  F₁, F₂,  BC₁ and  BC₂) of two  wheat  crosses;    Gemmeiza11  ×  Misr1 and  Gemmeiza  12 × Misr2,  A randomized complete  block design with three  replications   was  used.  The obtained results indicated the importance of additive genetic variance (D) in the genetic control of days to heading and flag leaf area for Gimmeiza   12 × Misr 2 and amount of spikes/plant in two crosses. Heritability in narrow sense was more than 0.50.  While the dominance   genetic variance (H) was found to be the prevalent type controlling for the remaining characters in two crosses, the value of (H/0)⁰⁵ was more than one for these characters   and heritability   in narrow sense as less than 0.50. The non-allelic interaction (A, B and C) coupled with joint scaling test (X₂) revealed that simple genetic model was adequate for explaining the inheritance of amount of spikes/plant for Gemmeiza 12 X Misr1, epistasis played a great role of controlling remaining characters in two crosses.  Additive (d) and additive X dominance (J) were significant for days to heading and number of grains /spike (in twocrosses), 1000 grain weight and grain yield / plant in two crosses cross (Gemmeiza × Misr 2).