The invention relates to an MOF material with the 3D-DNA network topological structure. The chemical formula is {[Cu2(HL)2NO3].NO3)n, n is a non-zero natural number, the MOF material belongs to a cubic crystal system and a (for the details of the formula, please refer to the original text) space group, is provided with 3D pore channels, meanwhile, presents a 3D-DNA double helix network topologicalstructure, and has the good thermal stability and chemical stability. The synthesis process of the material comprises the steps that ligand of H2L, a CuI acetunitrile solution, acetunitrile, HNO3, H2O are placed in a hard glass tube at the certain proportion to be sealed, and then ultrasonic treatment is conducted; a solvothermal reaction is conducted, the product is maintained for 8-16 hours atthe constant temperature of 100-140 DEG C, then the product is cooled to be at the room temperature at the speed of 3-5 DEG C / h, and vacuum excitation is conducted for 12 hours at the temperature of 100-120 DEG C. The MOF material with the 3D-DNA network topological structure can specifically bind toxic negative ions (N3-, SCN-, ClO4- and the like) in a water system, and thus the purpose of purifying the water system is achieved. Meanwhile, the MOF material is capable of rapidly identifying and efficiently removing N3-, the removing rate of N3- can reach 99% or above in a short period, and nosecondary pollution is caused.