Modern concepts on the chromatin loop-domain organization and the role of the DNA regions specifically binding the nuclear matrix (nuclear scaffold, or S/MARs) in its formation, maintenance, and regulation are discussed. Some S/MAR structural features, properties of binding the nuclear matrix, and probable mechanisms of their involvement in regulation of gene activity are considered. The English version of the paper: Russian Journal of Bioorganic Chemistry, 2004, vol. 30, no. 1; see also http://www.maik.ru.