In order to Hayman graphical analysis of some Quality related traits of bread wheat via diallel crosses, the F2 genotypes of a 5´5 half diallel with their parents were cultured in normal irrigated and terminal drought conditions at Islamic Azad University, Ardabil, Iran in 2009. Experimental design was randomized complete block design with two replications.The grain protein content, loaf volume, grain hardness, SDS-sedimentation volume, thousand kernel weight and hectoliter weight were measured. Combined analysis of variance showed significant differences among genotypes for all the studied traits indicating the presence of enough genetic diversity. Hayman’s graphs revealed over-dominance effects for grain protein content, loaf volume, thousand kernel weight and hectoliter weight in normal condition and hectoliter weight in water stress condition. These graphs also showed partial dominance for grain hardness and SDS sedimentation volume in normal condition.