Provided is a lithium secondary battery, comprising a cathode, an anode, and a porous separator or electrolyte, wherein the anode comprises: (a) an anode active layer containing a layer of lithium or lithium alloy, in a form of a foil, coating, or multiple particles aggregated together, as an anode active material; (b) a first anode-protecting layer having a thickness from 1 nm to 100 μm, a specific surface area greater than 50 m2 / g and comprising a thin layer of electron-conducting material selected from graphene sheets, carbon nanotubes, carbon nanofibers, carbon or graphite fibers, expanded graphite flakes, metal nanowires, conductive polymer fibers, or a combination thereof, and (c) a second anode-protecting layer having a thickness from 1 nm to 100 μm and comprising an elastomer having a fully recoverable tensile elastic strain from 2% to 1,000% and a lithium ion conductivity from 10−8 S / cm to 5×10−2 S / cm.