Nine specimens belonging to four separate species and two genera from Davis Strait and Hudson Strait exceeded the known maximum recorded sizes for their associated species. New size records are given for Bathypolypus pugniger, B. bairdii, B. arcticus and Cirroteuthis muelleri. All individuals were found within the same basin (532 to 1453 m) within Davis Strait with the exception of B. arcticus which was found along the trench (284 to 388 m) that runs through the middle of Hudson Strait. Six large sized Gonatus fabricii were also found in the same region of Davis Strait, but did not exceed the maximum size of 385 mm, a female caught in the Norwegian Sea. Since these two regions are the only areas where such large individuals were found, we speculate that these areas are of particular interest as potential spawning sites and are oceanographically and biologically favourable for the maintenance of large individuals.