Shop Hudson's Bay for handbags, women's and men's clothing and shoes, and housewares. Hudson's Bay, formerly and still colloquially The Bay, is a Canadian department store chain. Hudson's Bay Company · Contact Us |; Français · MENU · Our Company · Our History · Stores · Hudson's Bay · Lord & Taylor · Saks Fifth Avenue · Saks Fifth. Hudson Bay (Inuktitut: Kangiqsualuk ilua, French: baie d'Hudson) (sometimes called Hudson's Bay, usually historically) is a large body of saltwater in. The Hudson's Bay Company is a Canadian retail business group.