A method for producing a solid electrolyte material having a chemical composition represented by Li7-3xGaxLa3Zr2O12 (0.08≤x<0.5), a relative density of 99% or higher, belonging to space group I-43d in the cubic system, and having a garnet-type single crystal structure, the method comprising:
- forming a molten portion through melting of at least part of a starting material the chemical composition whereof is represented by Li(7-3x) yGaxzLa3Zr2O12 (0.08≤x<0.5, 1.1≤y≤1.4, 1.6≤z≤3.3), and by causing the molten portion or a seed crystal to move, or causing a seed crystal to move relative to the molten portion, at a moving speed of 8 mm/h or higher.