A synergetic law, being of common physicochemical and biological sense, is formulated: any evolving system that possesses an excess of free energy and elements with chiral asymmetry, while being within one hierarchical level, is able to change the type of symmetry in the process of self-organization increasing its complexity but preserving the sign of a prevailing chirality (left - L or right - D twist). The same system tends to form spontaneously a sequence of hierarchical levels with alternating chirality signs of de novo formed structures and with an increase of the structures relative scales. In living systems, the hierarchy of conjugated levels of macromolecular structures that begins from the "lowest" asymmetric carbon serves as an anti-entropic factor as well as the structural basis of "selected mechanical degrees of freedom" in molecular machines. During transition of DNA to a higher level of structural and functional organization regular alterations of the chirality sign D-L-D-L and L-D-L-D for DNA and protein structures, respectively, are observed. Sign-alternating chiral hierarchies of DNA and protein structure, in turn, form a complementary conjugated chiral pair that represents an achiral invariant, that "consummates" the molecular-biological block of living systems. The ability of a carbon atom to form choral compounds is an important factor that determined carbon basis of living systems on the Earth as well as their development though a series of chiral bifurcations. The hierarchy of macromolecular structures demarcated by the chirality sign predetermined the possibility of the "block" character of biological evolution.