Minnesota will hold presidential primaries in 2020, and all four of the qualified parties are eligible to have one. The four parties are Republican, Democratic-Farmer-Labor, Legal Marijuana Now, and Grassroots-Legalize Marijuana.
This is the second time that any Minnesota party, other than the Democratic and Republican Parties, has been eligible for its own presidential primary. Minnesota also had presidential primaries in 1916, 1952, 1956, and 1992, but in those years, only the two major parties were ballot-qualified, except that in 1916, the Progressive Party and the Prohibition Party were eligible, and the Prohibition Party used its primary.
The Minnesota presidential primary law in effect for 2020 says that candidates get on a presidential primary ballot by being chosen by their own parties. Minnesota, Georgia, and Florida are the only states like that. If a party doesn’t want a presidential candidate on its primary ballot, there is nothing the candidate can do to get on that presidential primary ballot. This type of law was upheld in federal court in 1992, when David Duke tried to get on the Florida and Georgia Republican presidential primary ballots, but the Republican Party wouldn’t allow it.
It is not known if either the Legal Marijuana Now Party, or the Grassroots-Legalize Marijuana Parties, will even want a presidential primary in 2020.