At least one zone made of lithium-containing glass-ceramic material, in a solid electrolyte for a lithium battery, is formed from a lithium-containing ceramic material, advantageously in the form of a layer such as a thin film. It is obtained by melting of at least a part of the lithium-containing ceramic material, followed by a recrystallization heat treatment. Melting is obtained by a laser beam irradiation operation, which enables fabrication of the solid electrolyte to be performed directly on a multilayer stack comprising certain active components of the lithium battery.