The Law:

Felons on probation, in prison or on parole cannot vote.  Former felons who are repeat offenders or first-time violent offenders will remain disfranchised after completion of their sentence, unless they seek a pardon from the Governor.  First-time non-violent offenders are eligible to apply for restoration of voting rights five years after the completion of their sentence.

Getting Your Vote Back:

http://www.sentencingproject.org/pdfs/rights-restoration/Wyoming.pdf