A rechargeable non-aq. lithium battery comprises (i) a battery housing; (ii) a lithium contg. negative electrode comprising (a) a first polymer laminate (12) having a pair of parallel faces, which is impervious to water but permeable to electrons, and which has an electronically conductive carbonaceous substance embedded therein, and (b) a continuous layer (14) of agglomerated fine carbon particles which can intercalate lithium, which is located on one of the parallel faces of (a) to a thickness of above 0.5 mm, and where agglomeration uses an organic binder contg. a lithium cpd.; (iii) a lithium-ion conductive solid polymer laminate electrolyte (16) comprising (a') a second polymer laminate having a pair of parallel faces, one of which opposes (b), which does not conduct electrons, and (b') a lithium cpd. which can release mobile lithium ions dissolved in (a'); (iv) a lithium contg. positive electrode comprising (a") a third polymer laminate (13) as in (a), and (b") a continuous layer (15), as in (b) of agglomerated fine particles of an oxide capable of incorporating lithium, selected from vanadium oxide, manganese oxide, cobalt oxide, nickel oxide and silver-vanadium oxide, and which opposes the other one of the parallel faces of (a;); (v) a first coating (18') of a lithium ion contg. fluid adhesive mixt. disposed between at least part of (b), opposing one of the parallel faces of (a'), and a second coating (18") contg. fluid adhesive mixt. disposed between at least part of (b"), opposing the other one of the parallel faces of (a'), where (ii) is adherent to one of the pair of parallel faces of (iii) and (iv) is adherent to the other one of the pair of parallel faces of (iii), and the first and second coatings contain a lithium cpd., with the first lithium cpd. being in a greater concn. than the second lithium cpd.; and (vi) a first metallic current collector (20) in contact with the other one of the parallel faces of (a), and a second metallic current collector (21) in contact with the other one of the parallel faces of (a"), with both current collectors having external electrical leads for discharging and charging the battery.    Also claimed is a battery as above, where (iii) is replaced by a microporous polymer laminate separator having a pair of parallel faces and having micropores impregnated with an organic liq. contg. a lithium cpd. which can release lithium ions. The micropores are disposed on (b). The separator does not conduct electrons or lithium ions and one of the parallel faces opposes (b).    ADVANTAGE -   Contact is maintained between the interactive surfaces of the polymer laminates of the battery, which prolongs battery life and is more efficient. The periphery of the polymer laminates is more effectively separated, while the high mobility of the lithium ions traversing the non-aq. electrolyte is maintained.