The American Mink’s (Neovison vison) genome has recently been sequenced. This opens numerous avenues of research both for studying the basic genetics and physiology of the mink as well as genetic improvement in mink. Using genotyping-by-sequencing (GBS) generated marker data for 2,352 Danish farm mink runs of homozygosity (ROH) were detect in mink genomes. Detectable ROH made up on average 1.7% of the genome indicating the presence of at most a moderate level of genomic inbreeding. The fraction of genome regions found in ROH varied. Ten percent of the included regions were never found in ROH. Other parts were in ROH in up to about 1/6 of the individuals. Some haplotypes must have achieved high frequencies during the relatively short time since domestication of the American mink. However, there was no evidence of haplotypes nearing fixation. Selection is therefore likely to be ongoing. The ability to detect ROH in the mink genome also demonstrates the general reliability of the new mink genome assembly. Keywords: american mink, run of homozygosity, genome, selection, genomic inbreeding