The enantiopure radical cation salts [(S,S)‐DM‐BEDT‐TTF]4[ReCl6] ([(S,S)‐1]4[ReCl6]) and [(R,R)‐DM‐BEDT‐TTF]4[ReCl6] ([(R,R)‐1]4[ReCl6]) [DM‐BEDT‐TTF = dimethylbis(ethylenedithio)tetrathiafulvalene] have been prepared by electrocrystallization of the chiral precursor DM‐BEDT‐TTF in the presence of NBu4[ReCl5(pyrazine)] (NBu4 = tetra‐n‐butylammonium cation; pyz = pyrazine) as supporting electrolyte. The single‐crystal X‐ray analysis shows that the compounds crystallize in the triclinic system, non‐centrosymmetric space group P1, and that the donors arrange in parallel columns. The four independent donor molecules possess approximate charges of +1, +1/2, +1/2 and 0, according to the structural parameter analysis and band‐structure calculations, which also support the semiconducting behaviour of the materials. The rhenium(IV) ion in both compounds is six‐coordinate with six chloro atoms that describe a slightly distorted octahedral environment with Re–Cl distances that cover the short range 2.348–2.374 Å. Magnetic measurements on polycrystalline samples of [(S,S)‐1]4[ReCl6] and [(R,R)‐1]4[ReCl6] have been investigated in the temperature range 2–295 K. They are practically identical and confirm the presence of high‐spin S = 3/2 [ReCl6]2– isolated monomers together with a Pauli paramagnetism, typical of this kind of system. The magnetic susceptibility data are thoroughly reproduced over the whole temperature range with a simple model of isolated S = 3/2 ions with a zero‐field splitting plus a temperature‐independent paramagnetism (TIP), and the best‐fit parameters being gRe = 1.875(2), |D| = 4.50(3) cm–1 and TIP = 3630(20)×10–6 cm3 mol–1 (2D is the energy gap between the MS = ±3/2 and MS = ±1/2 Kramers doublets).