Yes, military members do get a discount on Amazon Prime. As of June 2017, the monthly price for an Amazon Prime membership is $10.99 for customers with a valid EBT or Medicaid card, and $5.99 for students. For all other customers, the monthly price is $12.99. However, military members can sign up for a free six-month trial of Amazon Prime, and they also receive a discount on the annual price of Amazon Prime. The annual cost of Amazon Prime for military members is $79 per year, which is 20% off the regular price of $99 per year.