"To accrue the points" means to slowly and gradually collect or accumulate points over time.
Sentences with «to accrue the points»
Remember this card still allows you to be a loyalty member with any travel partner and simultaneously accrue points in their own programs. (upgradedpoints.com)
As you said, though, plan on when it makes sense to accrue points on the card and when your efforts might be better served elsewhere. (theglobetrottingteacher.com)
Finally, know that you won't accrue points for the balance transferred. (upgradedpoints.com)