The supramolecular (HOPD+)(DBcrown-6) cation, in which HOPD+ and DBcrown-6 are o-aminoanilinium and dibenzocrown-6, respectively, was introduced into [Ni(dmit)2]− salts (dmit2−=2-thioxo-1,3-dithiole-4,5-dithiolate). Conformational polymorphs were observed as tetragonal (HOPD+)(DBcrown-6)[Ni(dmit)2]− (1) and monoclinic (HOPD+)(DBcrown-6)[Ni(dmit)2]− (2). The ammonium group of HOPD+ in salts 1 and 2 formed the NH+⋅⋅⋅O hydrogen bonds at the bottom and upper positions of V-shaped DBcrown-6, respectively, thereby producing a different supramolecular conformation. The [Ni(dmit)2]− anion arrangements in salts 1 and 2 were 41-helical π stacking and a two-dimensional layer, respectively, depending on the conformation of the supramolecular cations. The magnetic behavior of salts 1 and 2 obeyed the Curie–Weiss law at room temperature with S=1/2 spin on the [Ni(dmit)2]− anion. However, the g value and line width in the electron resonance spectra of salt 1 showed a magnetic anomaly at 28 K, which was owing to antiferromagnetic ordering in the 41-helical [Ni(dmit)2]− π stack. Large temperature- and frequency-dependent dielectric responses were observed for salt 2 at temperatures above 200 K, whereas no particular dielectric responses were observed in salt 1. The molecular motion of HOPD+ within the cationic layer of salt 2 contributed to the dielectric response, and this was supported by ab initio calculations showing the potential-energy curve for pendulum motion and by the large thermal parameters in the X-ray crystal structure analysis. The fixed (HOPD+)(DBcrown-6) arrangement in the crystal of salt 1 was consistent with the small dielectric response. The steric hindrance of the o-amino group of HOPD+ in the supramolecular cation structure yielded the conformational polymorph with different dielectric and magnetic properties.