NAC (NAM (no apical meristem)-ATAF (Arabidopsis transcription activation factor)-CUC (cup-shaped cotyledons)) are among the largest transcription factor families in plants, involved in a plethora of physiological mechanisms. This study focused on four NAC genes previously identified in bread wheat as specifically grain-expressed which could be considered as candidate genes for yield improvement under climate changes. Using in silico analyses, the Triticum aestivum "Grain-NAC" (TaGNAC) orthologs in 14 cereal species were identified. A conserved protein motif was identified only in Triticeae. The expression of TaGNAC and einkorn TmGNAC was studied in response to moderate heat stress during grain development and showed a similar expression pattern that is accelerated during cell division stages under heat stress. A conserved structure was found in the promoter of the Triticeae GNAC orthologs, which is absent in the other Poaceae species. A specific model of promoter structure in Triticeae was proposed, based on the presence of key cis-elements involved in the regulation of seed development, hormonal regulation and response to biotic and abiotic stresses. In conclusion, GNAC genes could play a central role in the regulation of grain development in the Triticeae tribe, particularly in the accumulation of storage proteins, as well as in response to heat stress and could be used as candidate genes for breeding.