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It is shown that the molecules of double — stranded DNA form a liquid-crystaline ordered phase, depending on the value of parameter of Flory-Huggins, DNA aspect ratio, energy of attraction between the molecules of DNA and volume fraction of the flexible polymer. Liquid crystalline order formation in double-stranded DNA, immeresed in the polymeric matrix occurs with increase of the volume fraction of the flexible polymer. The orrdered phase formation in double-stranded DNA is governed by volume fraction of DNA and by temperature. The results clearly show the effect of the polymer matrix on the ordering in DNA molecules.