A method for manufacturing a garnet-related structure crystal belonging to an orthorhombic system represented by the chemical composition Li7−x−yLa3Zr2−x−yTaxNbyO12 (0.05≤x+y≤0.2, x≥0, y≥0), the method comprising melting at least a portion of a raw material represented by the chemical composition Li(7−x−y)zLa3Zr2−x−yTaxNbyO12 (0.05≤x+y≤0.2, x≥0, y≥0, 1<z≤2) to form a molten portion for crystal growth;
- moving the molten portion for crystal growth to an uncrystallized raw material at a traveling rate of at least 8 mm/h;
- and conducting crystal growth.