•Four Cd(II)–dicyanamide coordination polymers based on a multidentate tripyridyltriazole ligand have been synthesized.•These complexes exhibit a variety of infinite structures such as 1-D chain, 2-D layer, and 3-D homochiral networks.•The structural diversity can be well regulated by the counter anions of Cd(II) salts.•Dinuclear and 1-D helical subunits are observed in different structures, by virtue of the distinct ligand conformations.Assemblies of a tripyridyltriazole ligand, 3,4-bis(2-pyridyl)-5-(3-pyridyl)-1,2,4-triazole (L223) with dicyanamide (dca) anion and different Cd(II) salts in CH3OH–H2O media afford four coordination polymers, namely {[Cd2(L223)2(dca)4(H2O)](H2O)4}n (1), {[Cd(L223)(dca)(ClO4)](H2O)0.25}n (2), and [Cd(L223)(dca)X]n (X− = Cl− for 3 and Br− for 4). All complexes were structurally determined by single-crystal X-ray diffraction. In 1 and 2, the Cd(II) centers are combined by L223 spacers to form [Cd2(L223)2] bimetallic subunits, which are bridged by dca anions to result in the 1D motif and 2D layer, respectively. Complexes 3 and 4 display isostructural 3D homochiral coordination networks that are constructed by 1D [Cd(L223)]n helical subunits and dca bridges. These results indicate that the counter anions of Cd(II) salts will be responsible for the diverse structures of coordination polymers 1–4. Their solid state properties such as thermal stability and fluorescence will also be presented.Four cadmium–dicyanamide coordination polymers with a multidentate tripyridyltriazole ligand have been synthesized and characterized, which display diverse 1D, 2D, and 3D coordination motifs regulated by the counter anions of Cd(II) salts. Their thermal and fluorescent properties have also been studied.