|Attribute Points were awarded each time your Level increased. They could only be allocated while in Passive Mode and was done so by accessing Point Allotment within the Character Screen (Default Keybind on the PC: C). They were used to adjust Strength, Vitality, Dexterity, Intelligence, Mind, and Piety.
If you wished to reassign your points, the item The Keeper's Hymn, which you can buy from your Grand Company, let you completely reset the points that you had allocated to your stats leveling your current class/job. You couldn't reassign below your original base stats.