To provide a method for producing an oxide superconductive thin film excellent in crystallinity, capable of forming a superconductive thin film laminated body including the above thin film and having high superconductive transition temperature, and including no toxic element during production process.

The production method includes a first process of forming a buffer thin film composed of YBa2Cu3Ox on a single crystal substrate, and a second process of continuously forming Ba-Ca-Cu-O-based oxide superconductive thin film on the buffer thin film. The first process includes a buffer thin film growth operation comprising epitaxial growth of the buffer thin film by a pulse laser deposition method. The second process includes: a superconductive thin film growth step comprising epitaxial growth of the oxide superconductive thin film on the buffer thin film by the pulse laser deposition method; a slow cooling step of slow cooling a substrate following the growth step; and a quick cooling step of quickly cooling the substrate following the slow cooling step.