A non-aqueous electrolyte cell having a positive electrode, a negative electrode and an electrolyte contained in a cell can, the electrolyte including a solute and an organic solvent, the solute comprising lithium trifluoromethanesulfonate. The organic solvent comprises an organic solvent mixture of at least two high boiling point solvents including at least one cyclic carbonates. The negative electrode comprises a lithium alloy. The electrolyte includes a reaction inhibitor added thereto for inhibiting reaction between the cell can and the electrolyte. Further, the lithium trifluoromethanesulfonate is heated, dried and dehydrated in a vacuum at 80.degree.-150.degree. C.