These will be generated automatically in an increased amount from rounds 1 to 4. Players start with 1 AP on the first round, 2 on the second, 3 on the third and 4 on the fourth. From the fifth onwards, the amount generated will remain the same.
The maximum AP generation may be affected by some means. As already mentioned, should a player have a god as a commander, its AP pool at the beginning of the round will be increased by 2 points. Besides this, some items and spells can provide extra AP generation for a limited number of rounds.
It is important to notice that AP does not stack from one round to the next and the maximum amount a player may have at his pool at a time is 8.