FBX proteins are subunits of the SCF complex (Skp1–cullin–FBX) belonging to the E3 ligase family, which is involved in the ubiquitin–proteasome 26S (UPS) pathway responsible for the post-translational protein turnover. By targeting, in a selective manner, key regulatory proteins for ubiquitination and 26S proteasome degradation, FBX proteins play a major role in plant responses to diverse developmental and stress conditions. Although studies on the genomic organization of the FBX gene family in various species have been reported, knowledge related to bread wheat (Triticum aestivum) is scarce and needs to be broadened. Using the latest assembly of the wheat genome, we identified 3670 TaFBX genes distributed non-homogeneously within the three subgenomes (A, B and D) and between the 21 chromosomes, establishing it as one of the richest gene families among plant species. Based on the presence of the five different chromosomal regions previously identified, the present study focused on the genomic distribution of the TaFBX family and the identification of differentially expressed genes during the embryogenesis stages and in response to heat and drought stress. Most of the time, when comparing the expected number of genes (taking into account the formal gene distribution on the entire wheat genome), the TaFBX family harbors a different pattern at the various stratum of observation (subgenome, chromosome, chromosomal regions). We report here that the local gene expansion of the TaFBX family must be the consequence of multiple and complex events, including tandem and small-scale duplications. Regarding the differentially expressed TaFBX genes, while the majority of the genes are localized in the distal chromosomal regions (R1 and R3), differentially expressed genes are more present in the interstitial regions (R2a and R2b) than expected, which could be an indication of the preservation of major genes in those specific chromosomal regions.