European hazelnut (Corylus avellana) is an anemophilous, dichogamous, self-incompatible tree nut species. It is native to a large portion of Europe, Turkey, and the Caucasus region, across which a wealth of plant genetic resources is present. The objective of this study was to evaluate the genetic diversity of a core set of C. avellana representing the world’s germplasm using genotyping-by-sequencing derived single nucleotide polymorphism (SNP) markers and to classify novel eastern filbert blight (EFB) resistant or tolerant accessions. Two-hundred-twenty-two accessions underwent next-generation sequencing (NGS) to generate SNP markers. From this, 1,250 SNP markers were used to construct a neighbor-joining (NJ) dendrogram and perform a STRUCTURE and discriminant analysis of principal coordinates (DAPC) analyses. In the dendrogram, five major groups were established, which generally corresponded to geographic origins of the plant materials studied. In STRUCTURE, support was found for groupings at (K) = 3, (K) = 6, and (K) = 10 populations, with the greatest Δ-(K) value occurring at (K) = 10. Although the three different analyses indicated slightly different solutions, the overall results were generally consistent from the standpoint of identifying similar accession groupings. For many of the accessions, recorded origins tended to correspond with their genetic grouping, although there was also evidence of intermixing and likely movement of plant materials. Interestingly, in all three analyses, a vast majority of the new accessions from the Republic of Georgia formed their own distinct group, highlighting this geographic region as a unique pool of C. avellana genetic resources. Overall, EFB resistant/tolerant accessions were placed across a wide range of genetic backgrounds. Thus, our results indicate EFB resistance/tolerance is present across a wide spectrum of C. avellana genetic resources, with the Georgian accessions representing a new and relatively unique germplasm pool that can be incorporated into hazelnut breeding programs.