Abstract: The present invention provides a rechargeable battery with a nonaqueous electrolyte, comprising a cathode composite, an anode active material and a nonaqueous electrolyte, the cathode composite containing as a cathode active material an aniline-containing amorphous FeOOH having a density of 2.2 to 2.4 g/cm.sup.3 in the form of a powder and showing peaks similar to those derived from .gamma.-FeOOH at 2.theta. of 14.degree., 27.degree. and 44.degree. as analyzed by X-ray diffractometry with CuK.alpha. radiation, the anode active material comprising a lithium ion doped compound, the nonaqueous electrolyte comprising a solution prepared by dissolving a fluorine compound selected from the group consisting of lithium hexafluoroarsenate, lithium hexafluorophosphate and lithium trifluoromethanesulfonate in a solvent mixture comprising ethylene carbonate and an ethereal solvent in a volume ratio of 2:1 to 1:2 in a concentration of 1.0 to 1.5 mol/dm.sup.3.