The invention discloses a Li-S battery capable of performing impulsive discharge. The Li-S battery comprises electrolyte, and a battery cell comprising an anode component, a cathode component and a composite membrane, wherein the composite membrane mainly comprises a base membrane and a coating layer, coated on the base membrane, with single lithium-ion permeability; perfluoro lithium sulfonamide polymer electrolyte in the coating layer adopts a perfluoro carbon chain as a main chain, and a side chain contains Si-O or C-O repetitive units and fixed large anion end groups. The invention further discloses a Li-S reserve battery capable of performing impulsive discharge. The Li-S reserve battery mainly adopts the structure that a vesicle type electrolyte storage structure is added on the basis of the Li-S battery. The preparation method of the Li-S battery comprises firstly preparing a cathode plate, preparing a composite membrane, activating the composite membrane, then preparing a battery cell, and finally assembling the composite membrane and the battery cell, so as to obtain the Li-S reserve battery. The Li-S battery, the Li-S reserve battery and the preparation methods thereof have the advantages that the product circularity is good, the energy density is high, high-rate discharge can be performed, and the rate capability is good.