A non-aqueous electrolyte secondary battery of an embodiment includes an exterior member, a negative electrode containing a titanium-containing oxide housed in the exterior member, a positive electrode housed in the exterior member, a separator housed in the exterior member and arranged between the positive electrode and the negative electrode, and a non-aqueous electrolyte solution housed in the exterior member. At least one type or more chain carbonates are contained in a solvent of the non-aqueous electrolyte solution. A self-diffusion coefficient of the chain carbonate in −20° C. is front 1.4×10−10 to 2.0×10−10 m/sec.