Glenn Winningham Fearn, who is 57, was found guilty of four counts under the Criminal Code and one count under the Customs Act.
He was sentenced to four months in jail, followed by two years of probation and a 10-year ban on owning weapons.
Fearn's whereabouts since he stormed out of his trial in Lethbridge last week are unknown.
A border services spokesman says a warrant has been issued for the Arizona man's arrest.
Fearn was nabbed by border officers last October with several weapons in his vehicle, including a blow gun and two push daggers.
He also goes by the name Glenn Winningham of the House of Fearn — a common title used by the U.S.-based Freeman-on-the-land movement.
Freemen claim statute law is contractual and only applies if an individual consents to be governed by it. They declare themselves independent of government jurisdiction and believe the only true law is common law.