Yes, though it's application should require a heinous crime and enough solid evidence to remove any reasonable doubt of innocence.
How can a libertarian support the use of the death penalty?
A question that I pondered for some time before finally deciding that I could not. If you follow the libertarian ideology of the minimal state and reducing the power of the state then taking away its power to take life is an essential part of that. If a government has power over the life and death of its citizens it therefore has the ultimate power over all it rules. If judges and justices hold the power of capital punishment then they hold a power that I seriously don't believe that any libertarian would condone.