H.R.5821: To amend title 10, United States Code, to close loopholes in the prohibition on the sale or rental of sexually explicit material on military installations.

Military Honor and Decency Act - Directs the Secretary of Defense to review, at least annually, material that is not deemed to be sexually explicit to determine if the material should be deemed sexually explicit and thus prohibited under provisions prohibiting the sale or rental of sexually explicit material: (1) on property under the jurisdiction of the Department of Defense (DOD); or (2) by a member of the Armed Forces or a civilian DOD officer or employee acting in an official capacity.

Revises the definition of "sexually explicit material" to (among other things) prohibit print periodicals that regularly feature or give prominence to nudity or sexual or excretory activities.