According to one embodiment, a solid electrolyte material is an oxide represented by ABO3, wherein an A-site includes Li and vacancies. A cubic root V1/3 of a unit cell volume is within a range of 386 pm≦V1/3≦397 pm. A peak top νtop of an absorption peak in an infrared absorption spectrum satisfies Expression (1) νtop (cm−1)=4.7×V1/3 (pm)−b   (1), provided that 1220≦b≦1240.