From Libertarian Wiki

The death penalty is currently endorsed by the leadership of both major parties in the United States, though there is significant opposition to the death penalty in the Democratic Party.

Libertarians are split over the use of the death penalty and the Libertarian Party does not take a position on this issue. The more conservative libertarians believe that the death penalty is an important tool for the protection of life, preventing a murderer from comitting other crimes and serving as a deterrent.

Other libertarians criticize the death penalty as not serving the principle of restitution and being a dangerous tool in the hands of the state. They are concerned that the death penalty may be applied unfairly or to enforce victimless crimes such as drug smuggling.

See also: jury