Assiniboia is a town in the Canadian province of Saskatchewan. It is about 110 kilometres south-southwest of Moose Jaw beside Highway 2 an…Assiniboia is a town in the Canadian province of Saskatchewan. It is about 110 kilometres south-southwest of Moose Jaw beside Highway 2 and Highway 13. The Dominion Land Survey's description of the area around Assiniboia is Sec.18, Twp.8, R.29, W2. It was first settled by people of English, French, Romanian, Scottish, and Scandinavian descent. From 30 March 1908 to 23 November 1912, the post office at this location was named Leeville, Saskatchewan.