Things You'll Need
Instructions
Play "Pokemon Red" or "Pokemon Blue," and defeat all eight of the gym leaders, beating the final gym leader, Giovanni, in Viridian City. Once Giovanni is defeated, you will have all eight Pokemon badges and are ready to face the Elite Four and the Pokemon Champion.
Travel west of Viridian City to Route 22, battling your rival Gary when he appears.
Enter the large building at the end of Route 22 to access Route 23.
Pass through Route 23, talking to the guards to show them your eight Pokemon badges. After making your way through Route 23, you will have access to Victory Road.
Use a Pokemon with the "Strength" ability to move boulders onto the switches on Victory Road, continuing until you find and battle the legendary bird Pokemon Moltres. Use "Sleep" on Moltres after weakening it, then use Ultra Balls to catch it.
Head north to the Indigo Plateau.
Save the game, and battle the Elite Four one after another. The first trainer of the Elite Four uses ice and water Pokemon, the second trainer uses fighting and rock Pokemon, the third trainer uses ghost Pokemon and the fourth uses dragons and a Gyrados; prepare your party accordingly to counter these Pokemon types.
Battle the reigning Pokemon Champion, who is your rival, Gary, after defeating the Elite Four.
Travel to Cerulean City.
Walk up Nugget Bridge, and use a Pokemon with "Surf" to move south across the water until you find an island with a cave.
Enter the cave to access the Unknown Dungeon, and make your way down through the dungeon levels. On the bottom level of the dungeon you will see Mewtwo standing between two rocks.
Save the game, and confront Mewtwo. If you still have your Master Ball, use it to capture Mewtwo before it attacks. If you don't, use your most powerful attacks and alternate your Pokemon to wear down Mewtwo's health enough to use Ultra Balls to try and capture it after successfully putting it to sleep with one of your Pokemon. If you are defeated by Mewtwo, reload your game where you saved it, and try to capture it again.