Capture Points is a battle on certain maps of the Global Tournament that consists of either several points that can be captured on the map. The capturing method is the same as Alliance Battles, in that you must have more of your own than there are of the enemy to capture the point. When capturing shrines, remember that the Ghostly Hero counts as four players so a common strategy is send one player off with him to expedite capping.
In the current map rotation Forgotten Shrines and Antechamber are capture points style maps. Additionally, it is one of the options for the game type in the Hall of Heroes.