The dynamics of change in the impedance spectra and electrochemical parameters of Li-S rechargeable batteries with non-aqueous electrolyte during a) storage after the cell assembly and b) during the following cycling have been presented. The development of the innovating technology and design of the electrode based on polymer sulfur results in a dramatic increas in the properties of Li-S batteries with 0.7 M bis(triuoromethanesulfone)imide (LiIm), 0.25 M LiNO3, DME: DOL (2:1) as an electrolyte.