It was originally incorporated as a rural municipality on November 1, 1890.
[1] It ceased on January 1, 2015, as a result of its provincially mandated amalgamation with the Town of Boissevain to form the Municipality of Boissevain – Morton.
The International Peace Garden is located partially in the territory of the former RM of Morton, along the North Dakota border.
Most of Manitoba's Turtle Mountain Provincial Park lies in the southwest corner of the former RM.
According to Statistics Canada, the former RM had an area of 1,089.88 km2 (420.8 sq mi).