Kyogre locations — where to catch

In Paldea (Scarlet & Violet)

• Casseroya Lake — Static Encounter

In Johto & Kanto (HeartGold & SoulSilver)

• Embedded Tower — Static Encounter

In Hoenn (Ruby, Sapphire & Emerald)

• Cave of Origin — Static Encounter
• Marine Cave — Static Encounter

Other games (3)

• Mega Dimension (Gen 9): Primo
• Ultra Sun / Ultra Moon (Gen 7): Ultra Space Wilds, Ultra Space
• Omega Ruby / Alpha Sapphire (Gen 6): Cave Of Origin

Kyogre — full Pokédex entry