A series of sixty hitherto unknown cubic lead and tin halide perovskites with the saturated heterocyclic cations (CH ₂ ) _n PH ₂ ⁺ and (CH ₂ ) _n SH ⁺ , (n = 2–6) is modeled using periodic DFT approach for the first time. We find that the proposed species are direct bandgap semiconductors with the lattice constants varying from 6.01 Å to 7.71 Å and absorption wavelengths covering the energy range [1.39–5.26] eV. The estimated masses and velocities of charge carriers amount to ∼ m _e and ∼10 ⁵ m/s, respectively. Electronic properties of the proposed compounds are compared with that of the previously described lead and tin halide perovskites with the saturated heterocyclic cations (CH ₂ ) _n NH ₂ ⁺ and (CH ₂ ) _n OH ⁺ , (n = 2–6). The proposed compounds considerably expand the family of photoactive hybrid metal-halide perovskites.