A new coarse-grained model of the DNA molecule has been proposed, which was elaborated on the basis of its all-atomic model analysis. The model has been shown to rather well reproduce the DNA structure under low and room temperatures. The Young's and torsion moduli calculated using the coarse-grained model are in close agreement with experimental data and the theoretical results of other authors. The model can be used for DNA fragments of several hundreds base pairs for rather long time scales (of the order of micros) and for simulating their interactions with other structures.