Determining the provenience of archaeological objects relies on the so-called “provenience postulate,” namely, that sources of these objects are more compositionally distinct from each other than they are internally variable. For ceramics, it can be relatively straightforward in geologically heterogeneous environments to determine where vessels were produced, and whether they were traded or not. In geologically homogeneous regions, this can be far more complicated. In this study, we mineralogically and chemically compare Bronze Age ceramics (primarily Middle Bronze Age) from five archaeological sites on the Great Hungarian Plain to a large regional clay sample. The Great Hungarian Plain is comprised almost entirely of Pleistocene loess deposits, yet prior compositional studies have identified patterned variability between ceramics from different sites. Our results show that chemical variation in the region is continuous and clinal, making it difficult to strictly apply the provenience postulate to identify distinct production locations. However, we show that this clinal chemical variability can be used to make broad statements about whether most ceramics at any given site were produced relatively locally or were obtained from further distances (c. 50 km or more). We show that while production at most of our study sites was likely relatively localized, in one instance (the tell at Berettyóújfalu-Herpály-Földvár), many ceramics may have been obtained from other Bronze Age communities, including those in the Körös River drainage.