Two coordination polymers of [CuSCN(INH)] n (1) and [CuCl(INH)] n (2) have been synthesized (where INH = isoniazid). Their crystal structures have been determined by X-ray single crystal diffraction and both of them belong to monoclinic system. The Cu(I) ions in 1 and 2 all adopt distorted tetrahedral geometries. The complex 1 belongs to Cc space group and the cell parameters are: a = 44.370(2) A, b = 3.811(3) A, c = 30.2800(19) A, β = 132.87(3)° and Z = 4. The Cu(I) ion in 1 is coordinated to three SCN groups and one INH ligand and such coordination model result in a 2D networks construction. Complex 2 crystallizes in the P21/c space group and the cell parameters are: a = 7.0319(13) A, b = 18.367(3) A, c = 6.0644(11) A, β = 93.466(2)° and Z = 4. Each copper atom in 2 is ligated by two INH ligands and two chlorine groups. Two copper atoms are asymmetrically bridged by two chlorine ligands to form a Cu2Cl2 unit. Each Cu2Cl2 fragment is bridged by four INH groups to form a 2D layer structure. Two 2D Cu (I) coordination polymers based on isoniazid and different bridged groups, [CuSCN(INH))] n and [CuCl(INH)] n were synthesized and characterized.