Methods of intrinsic viscosity [t|] and beam flow birefringence were used to study the effects of some singlecharged ions (F~, Cl, Br, J~, NOj, NOj, ClO-, SCN, CH3COO~) on the size and thermodynamic rigidity of DNA molecule in aqueous solutions of sodium salts in a broad interval of ionic strength [i when temperature T is changed. It has been shown that the close interactions in a macromolecule and the resulting persistent length a of DNA are independent of the type of the salt anion over the whole interval of \i. On the contrary, specific volume of DNA molecule in solution, proportional to [r\] value, is quite sensitive to the anionic composition of a solvent which is due to the effect of anions and their hydration on the remote interactions in the macromolecule. The presence of polyatomic and halide anions is manifested differently in the [t|] value of DNA. Possible factors responsible for the observed effect and the role of structural alterations of water upon anion hydration are discussed.