The data on the genomic domain structure of both mammalian and avian alpha- and beta-globin genes are reviewed. The specific features of chromatin, DNA binding to the nuclear matrix, and domain-specific transcripts are discussed. In humans, the beta-globin gene domain is located in the GC-depleted isochore and contains multiple nuclear matrix attachment regions. The locus is controlled by six chromatin regions hypersensitive to DNase located far upstream of the first structural gene. Some of these regions display enhancer activity to support normal transcription level in the domain. Other mammalian beta-globin domains are similarly organized. The avian beta-globin genes are specifically arranged and their expression is less dependent from the locus control region. The human alpha-globin gene is located in the GC-rich isochore. The nuclear matrix attachment sites are not identified in this gene. An analog of the locus control region is located 40 kb upstream of the zeta-globin gene. The avian alpha-globin gene domains contain numerous nuclear matrix attachment regions. In these domains, an element located far upstream the genes regulates positive rather than negative transcription. An unidentified housekeeping gene as well as some other transcripts not encoding the structural globin genes is transcribed in the direction opposite to that of the globin genes in both mammalian and avian domains.