You can exempt $6,000 of the assessed value of your primary residence from Wyoming property tax. If you do not use the exemption on real property, you can apply it to a vehicle licensing fee instead. An unremarried surviving spouse of an eligible veteran can claim it.
Apply at your local county assessor office between January 1 and the fourth Monday of May each year. This is a county filing, not a state one. For help, call the Wyoming Veterans Commission at 800-833-5987 or use its online contact page.
A copy of your DD214 or equivalent discharge document. If you qualify through a VA disability rating, bring documentation of the rating; if you qualify through an expeditionary medal, bring proof of the award. A surviving spouse should also bring proof of the marriage and of the veteran eligibility.