A battery having a laminate structure of alternating layers of polymer matrix material and solid-state battery elements is fabricated. Individual solid-state battery elements are created in a deposition apparatus, each battery element having successive solid-state thin films concentrically formed over a conductive wire substrate to define anode, electrolyte and cathode active layers sandwiched between inner and outer current collectors. Inner current collectors are electrically coupled to each other (and likewise the outer current collectors) such that battery elements are connected in a specified series and parallel arrangement. Sets of the individual battery elements are laid upon cloth layers such that outer current collectors of the battery elements physically contact the cloth and the cloth layers are impregnated with selected thermoplastic or thermosetting resin, the impregnated cloth layers and their respective contacting battery elements are stacked to form a composite laminate. The laminate is compacted and cured, and the battery elements of the various layers are coupled to external electrodes. The battery elements double as load components for the laminate structure.