In 2018, the Libertarian Party had candidates for the state legislature on the ballot in all but five states. This was the first time any party, other than the Democratic and Republican Parties, had legislative candidates on the ballot in that many states, since 1916. The five states with no Libertarians on the ballot for legislature in 2018 were Arizona, Georgia, Illinois, Massachusetts, and North Dakota.
This excludes the states that don’t have legislative elections in even years, which are Louisiana, Mississippi, New Jersey, and Virginia.
All of the 2018 Libertarian candidates had the ballot label “Libertarian” except for the Tennessee candidates, who had “independent.”
The Libertarian Party had legislative candidates in all but six states in 2000, which is the closest any third party had come in previous years.
In 2016, there were eleven states that had legislative elections in which the Libertarians had no legislative candidates: Alaska, Arizona, Georgia, Illinois, Maine, Nebraska, North Dakota, Ohio, South Dakota, Tennessee, and Wyoming. There were 14 such states in 2014; 14 in 2012; 12 in 2010; 15 in 2008; 19 in 2006; 9 in 2004; 7 in 2002; 14 in 1998; and 11 in 1996.