A novel metal-organic-frameworks-derived activated mesoporous carbon polyhedron/Sulfur composite (AMCP-950/S) is successfully designed and synthesized. The composition analysis and structure characteristics of samples are conducted by thermogravimetric analyses (TGA), X-ray powder diffraction (XRD), field-emission scanning electron microscopy (FESEM), high-resolution transmission electron microscopy (HRTEM). The electrochemical performances of samples are examined by cyclic voltammetric (CV), charge/discharge and electrochemical impedance spectroscopy (EIS) measurements. The effects of the carbonization temperatures on the physicochemical and electrochemical performances of the resultant mesoporous carbon polyhedron are carefully studied. The results show that the activated mesoporous carbon polyhedron (AMCP-950), which is prepared by the MOF-5 (Zn4O(BDC)3) carbonized at the optimized temperature (950°C) and then KOH activation, has uniform sponge-like morphology, abundant mesoporous structure and huge large specific surface areas of 2211.1 m2/g. Besides, AMCP-950/S composite shows the high sulfur content of 79.0 wt%, the excellent electrochemical performance with the high initial capacity of 1274.0 mAh/g (based on the weight of C/S active substance) and over 81.7% capacity retention after 50 cycles at a discharge rate of 0.2 C (1 C = 1675 mAh/g) as well as excellent coulombic efficiency.