A nonaqueous secondary cell including the following elements: a positive electrode capable of absorbing and releasing lithium; a negative electrode capable of absorbing and releasing lithium; and a nonaqueous electrolyte including a nonaqueoous solvent and a lithium salt dissolved therein wherein the electrolyte contains a vinyl ethylene carbonate compound represented by the general formula (1) ##STR00001## wherein R1, R2, R3, R4, R5, and R6 represent each independently a hydrogen atom or an alkyl group having from 1 to 4 carbon atoms, and furthermore contains at least a compound selected from the group consisting of vinylene carbonate, a cyclic sulfonic acid ester or a cyclic sulfuric acid ester, and an acid anhydride.