This article covers a subject that has been deemed non-canon by either the author or the Alien vs. Predator licensees, and thus should not be taken as a part of the "real" Alien vs. Predator universe.
The Honor Point is a form of currency in AVP: Evolution, Predators (video game) and Aliens vs. Predator: Requiem (video game). In AVP: Evolution, it is used to purchase Predator-related items. In Predators, it is used to purchase and upgrade equipment in the Gear Room. In both mobile games, you are to purchase Honor Points with real money.