The solid electrolyte material and a solid oxide fuel cell provided with this

While maintaining a high oxygen ion conductivity, thereby suppressing the withdrawal of scandia by impurities such as Si in the fuel gas, a solid electrolyte material having improved interparticle strength to eliminate grain boundary fracture due to crystal modification provide. The solid electrolyte material of the present invention, a scandia, a lanthanoid oxide and / or zirconia solid electrolyte material yttria is dissolved, characterized in that it additionally contains alumina.