Apparatus for producing analysis samples for X-ray fluorescence spectroscopy that includes a crucible holder that supports a crucible with sample material and a casting dish that is provided underneath the crucible. The crucible is tiltably mounted in the crucible holder and the crucible holder along with crucible holder and the casting dish is handled as a single unit for loading and unloading the oven. The oven has a floor on which the crucible holder is positioned upright, and the portion of the floor receiving the crucible holder is designed as a turntable which imparts oscillating rotational motion to the crucible holder and crucible holder. The method entails placing the crucible with the sample material in the crucible holder while they are outside the oven and then placing entire crucible unit loosely in the oven.