Here's the text from a 2011 Randymon posting on the subject:
Here are details regarding our military discount policy:
We are pleased to announce a new promotion for US military personnel. This is for active and retired personnel that carry valid identification.
• A 10% discount on current available HOTEL ONLY rates. The Military discount will only be applied if reservation is confirmed at least 46 days from time of arrival or at time of full payment (if within 46 days).
• All guests utilizing the Military Discount are required to bring their military id card for proof of identification to the resort upon check in. Lack of valid identification will result in loss of discount with the difference payable at time of check in.
• Military Discount is not available for travel December 26- January 2, and February 11 - 26
• Military Discount is only available through Couples Resorts’ reservations center (client direct or travel agent).
• Military Discount is not valid for group travel
Note: Not valid for Secret Rendezvous or Couplicious Wednesday Escape Specials.