An improved non-aqueous electrolyte cell is disclosed in which specific carbonaceous material is used as an anode. The carbonaceous material has interlayer spacing d.sub.002 of not less than 3.70 A, true density not larger than 1.70 g/cm.sup.3 and no exothermic peak not less than 700.degree. C. upon differential thermal analysis under air stream. The combination with cathode active material containing Li in an amount not less than 250 mAH/g in term of charging/discharging capacity, provides superior cyclic life characterisitcs and large capacity.