Pima County collects the highest property tax in Arizona, levying an average of $1,614.00 (0.81% of median home value) yearly in property taxes, while Greenlee County has the lowest property tax in the state, collecting an average tax of $303.00 (0.46% of median home value) per year.he median property tax in Arizona is $1,356.00 per year for a home worth the median value of $187,700.00.