Despite much research focused on lithium (Li) metal batteries, an important issue concerning Li-dendrite growth on the anode remains unresolved. The intrinsic mechanism of this Li-dendrite formation is related to the nonuniform distribution of Li-ion flux on the anode in charge/discharge caused by irregular structure and energy of anode surface. Here we report upon dendrite-free Li-deposition in a carbonate-based electrolyte using a novel Cu anode structure with sharp wrinkles and a  crystal facet. This uniform Li-deposition resulted in longterm electrochemical cyclability in Li/Cu and LiFePO4/Li cell. Our observations revealed that the wrinkled Cu surface and the unifying  crystal facet play important roles in enhancing the uniformity of the Li-ion flux and the adsorption energy of the Li-ions on Cu, respectively. We expect that this study will permit the use of a wide range of wrinkled structures and crystal planes to obtain high-energy and long-term cycles of Li-metal batteries.