A method for making a lithium-ion electrochemical accumulator, comprising the following steps: a/ making a plurality of so-called two-sided electrodes, each comprising an electrically conducting substrate forming a current collector supporting on its two opposite faces an electrode material of same given polarity; the polarity of electrodes being divided into two groups, one of the groups comprising electrodes (30B +, 31B +, 32B +) with polarity opposite to those (30B -, 31B -) of the other group, a'/ making two so-called one-sided electrodes, each comprising an electrically conducting substrate forming a current collector supporting on a single one of its faces an electrode material of given polarity, both one-sided electrodes (3M -, 3M -) supporting a single electrode material being of the same polarity, b/ unwinding an electrolytic separator in the form of a continuous strip from a winder so as to position it on one edge of a mandrel with two parallel edges, c/ manually positioning a first two-sided electrode (30B +) of one of the groups on the edge of the mandrel parallel to the one on which the continuous separator strip is already positioned, d/ rotating the mandrel so as to wrap the first two-sided electrode of said group and the mandrel with the continuous separator strip, e/ manually positioning a first two-sided electrode (30B -) of the other group on the edge of the mandrel on which the continuous separator strip is positioned, f/ rotating the mandrel in the same direction as the one of step c/ so as to also wrap the first two-sided electrode of the other group with the continuous separator strip, g/ repeating steps c/ to f/ with all the other electrodes (30B +, 31B +, 32B +, 30B -, 31B -, 3M -, 3M -) made according to steps a/ and a'/ so as to have the latter stacked on the mandrel with each of the one-sided electrodes laid out at one of the ends of the stack, all the electrodes being wrapped by the continuous separator strip, the latter also separating two adjacent electrodes and of opposite polarity relatively to each other. a/ making a plurality of so-called two-sided electrodes, each comprising an electrically conducting substrate forming a current collector supporting on its two opposite faces an electrode material of same given polarity; the polarity of electrodes being divided into two groups, one of the groups comprising electrodes (30B +, 31B +, 32B +) with polarity opposite to those (30B -, 31B -) of the other group, a'/ making two so-called one-sided electrodes, each comprising an electrically conducting substrate forming a current collector supporting on a single one of its faces an electrode material of given polarity, both one-sided electrodes (3M -, 3M -) supporting a single electrode material being of the same polarity, b/ unwinding an electrolytic separator in the form of a continuous strip from a winder so as to position it on one edge of a mandrel with two parallel edges, c/ manually positioning a first two-sided electrode (30B +) of one of the groups on the edge of the mandrel parallel to the one on which the continuous separator strip is already positioned, d/ rotating the mandrel so as to wrap the first two-sided electrode of said group and the mandrel with the continuous separator strip, e/ manually positioning a first two-sided electrode (30B -) of the other group on the edge of the mandrel on which the continuous separator strip is positioned, f/ rotating the mandrel in the same direction as the one of step c/ so as to also wrap the first two-sided electrode of the other group with the continuous separator strip, g/ repeating steps c/ to f/ with all the other electrodes (30B +, 31B +, 32B +, 30B -, 31B -, 3M -, 3M -) made according to steps a/ and a'/ so as to have the latter stacked on the mandrel with each of the one-sided electrodes laid out at one of the ends of the stack, all the electrodes being wrapped by the continuous separator strip, the latter also separating two adjacent electrodes and of opposite polarity relatively to each other.