Kratos has already killed the Greek pantheon and proved he can match Thor blow-for-blow in their canonical encounters.
This matchup has the unique distinction of actually happening in canon โ and the results speak for themselves. In God of War Ragnarok, Kratos fights Thor multiple times and holds his own in every encounter. Their first clash literally levels the surrounding landscape, and Kratos survives hits from Mjolnir that crack the earth itself.
Thor in the Norse God of War universe is an absolute monster. He killed every giant in Jotunheim, drank the world serpent's venom and survived, and his hammer strikes carry enough force to fracture the World Tree. He's not the quippy MCU Thor โ this is a brutal, relentless god of war in his own right who has never lost a fight before Kratos.
But Kratos is the God-Killer. He tore Helios's head off with his bare hands, killed Poseidon while climbing Mount Olympus, strangled Hercules, and ripped Zeus apart. His Spartan Rage provides a seemingly bottomless well of power when pushed to his limits. The Blades of Chaos and Leviathan Axe give him versatility at every range, and his combat experience spans centuries of killing divine beings. More importantly, Kratos has something Thor lacks in their universe: growth. Kratos learns from every fight and adapts his strategy, while Thor relies on overwhelming power.
Kratos killed the entire Greek pantheon including Zeus, the king of the gods. He matched Thor blow-for-blow in their canonical fights in Ragnarok, tanking direct Mjolnir strikes that shatter mountains. His Spartan Rage gives him effectively limitless berserker strength, and he wields two mythical weapons that cover all combat ranges. Centuries of killing gods have made him the most experienced divine combatant in fiction.
Thor is the strongest of the Norse gods, having single-handedly exterminated the giants of Jotunheim. Mjolnir's strikes crack the World Tree and devastate landscapes with shockwaves. His lightning control adds ranged power, and his sheer physical durability let him survive the World Serpent's venom, something that could kill any other being. In raw strength, Thor may actually exceed Kratos.
Kratos takes this based on his track record of killing gods and his canonical showings against this exact opponent. Thor is one of the most dangerous enemies Kratos has ever faced, but the Ghost of Sparta has beaten worse. His adaptability and willingness to push beyond all limits give him the edge over Thor's raw power approach.
Kratos also fights
Thor (Norse) also fights