A non-aqueous electrolyte for a lithium-ion battery and a lithium-ion battery. The non-aqueous electrolyte comprises unsaturated phosphate compounds and unsaturated cyclic carboxylic acid anhydride compounds. The unsaturated phosphate compounds have the structure illustrated in structural formula 4; structural formula 4: R13, R11, and R12 are independently selected from hydrocarbon groups having 1-5 carbon atoms respectively, and at least one of R13, R11, and R12 is an unsaturated hydrocarbon group containing double bonds or triple bonds; the unsaturated cyclic carboxylic acid anhydride compounds have the structure illustrated in structural formula 5; structural formula 5: R14 is independently selected from vinylidene having 2-4 carbon atoms or fluoro-substituted vinylidene. By means of the synergistic effect of two compounds, the non-aqueous electrolyte has excellent high-temperature cycling performance and storage performance, and also has lower impedance and good low-temperature performance.