According to one embodiment, a nonaqueous electrolyte battery is provided. The nonaqueous electrolyte battery includes a positive electrode and a negative electrode. A positive electrode layer contains lithium-manganese composite oxide represented by a general formula of LiMn2-xMxO4. x is within the range of 0.22≦x≦0.7 and M is at least one element selected from a group consisting of Mg, Ti, Cr, Fe, Co, Zn, Al, and Ga. A negative electrode layer contains lithium titanate. A pore specific surface area of the positive electrode layer is 2 m2/g or more and less than 5 m2/g. A ratio of a capacity per pore surface area of the positive electrode to the negative electrode is within the range of 1 or more and less than 2.4.