CaCu3Fe2Re2O12 and LaCu3Fe2Re2O12 quadruple perovskite oxides are well known for their high ferrimagnetic Curie temperatures and half-metallic electronic structures. By A-site chemical substitution with lower valence state Na+, an isostructural compound NaCu3Fe2Re2O12 with both A- and B-site ordered quadruple perovskite structures in Pn-3 symmetry was prepared using high-pressure and high-temperature techniques. The X-ray absorption study demonstrates the valence states to be Cu2+, Fe3+, and Re5.5+. A ferrimagnetic phase transition is found to take place at the Curie temperature TC ≈ 240 K, which is much less than that observed in A = Ca (560 K) and La (710 K) analogues. NaCu3Fe2Re2O12 possesses a larger saturated magnetic moment up to 9.4 μB/f.u. as well as a remarkably reduced coercive field less than 10 Oe at 2 K. Theoretical calculations suggest that NaCu3Fe2Re2O12 displays a half-metallic electronic band structure with complete spin polarization of conduction electrons in the minority-spin bands. The magnetic properties and electronic structures of the ACu3Fe2Re2O12 family are compared and discussed.