God of War has a pretty expansive skill tree, and this is where you'll be able to unlock all of Kratos' cool moves and abilities that he will use in battle. Here are the best skills to discover as soon as possible.
Ax of the Leviathan
Executioner's cleaving: Hold R2 to perform a brutal ax attack dealing massive damage.
Ice Throw: While sprinting, press R1 to perform a jump attack.
Eternal Frost: Quickly launch attacks without dealing damage to start attacking enemies with ice strikes. This ability is especially useful as Kratos now has the ability to freeze enemies on contact after you've performed a combo of attacks.
Protector Shield
Block break: Press L1 twice to break the enemy block.
The rest of the skills are also very enjoyable, especially if you like using a shield and parrying enemy attacks. But they are not a priority.
Claw Bow
Teamwork: Atreus will help Kratos during his attacks.
Acrobatics: If Kratos pushes the enemy far away, Atreus can perform a combo move.
Ferocity: When approaching enemies, Atreus can make various attacks with high damage.