Lithium sulfur (Li-S) batteries can offer great opportunity for the next-generation energy storage systems with tremendous energy density. However, challenges still exist in practical Li-S batteries including low sulfur utilization, poor cycling stability and rate capability. Herein, we propose a novel hybrid catalyst structure by in-situ implanting nano-crystal CoS2 in three-dimensional honeycomb-like hieratical porous graphic carbon (HPGC) for the high-performance Li-S batteries. A unique synergistic absorption-catalysis-functional effect is demonstrated by comprehensive experimental and theoretical analysis: strong physical and chemical co-absorption effects are originated from the large quantity of micro-porous of HPGC and the polar surface of metallic CoS2; the introduced nano-crystal CoS2 with large specific area can impose exceptional catalytic effect toward the liquid-liquid, solid-liquid and solid-solid phase redox reactions in Li-S batteries; the reaction dynamics are further guaranteed by the multi-functional properties of the HPGC back bone, including the capabilities in polysulfide sustention, reaction product transportation, electrolyte compensation, and the efficiency in assisting diverse electrochemical reaction dynamics. In this way, our results not only develop a novel CoS2@HPGC structure, but also provide fundamental understanding on the catalytic dynamics during each reaction process. Moreover, we further propose the necessity and philosophy of the rational design of catalysts special structure, which can fulfill the functional dynamics requirements of Li-S batteries, and can be promoted to other Li-S related cathode design and composite catalytic structure design.