This article examines the historical development of the Greenland shark (Somniosus microcephalus) fishery in North Greenland from 1774-1898. The purpose of the article is to present a starting point, a so-called baseline, for further studies of the extent of the historical fishery. With data from mainly two archival series, the historical catch figures are presented, which has led to the year 1862 as a realistic baseline for the historical fishery of the Greenland shark in North Greenland.