In Pokémon you can catch Pokémon with Poké Balls after you weaken them. There are a lot of different kinds of Poké Balls and here is a list of them.
Poké Ball: A regular Poké Ball. Use it to catch Pokémon.
Great Ball: Can catch Pokémon 50% better than a Poké Ball.
Ultra Ball: Can catch Pokémon twice as good as a Poké Ball.
Master Ball: Will catch any Pokémon. Best Poké Ball ever. No Pokémon can escape from it.
Safari Ball: Only for use in the Safari Zone.
Sport Ball: Only for use in the National Park Bug-Catching Contest.
Level Ball: Works better the higher the level your Pokémon is than the wild Pokémon’s.
Lure Ball: Works best on Pokémon you catch with a fishing rod.
Moon Ball: Works best on Pokémon that evolve with a Moon Stone.
Friend Ball: Works as well as a Poké Ball, but the caught Pokémon has a high happiness value when caught.
Fast Ball: Works best on Pokémon that flee from battle, like Abra.
Heavy Ball: Works better the heavier the Pokémon is.
Love Ball: Works best if your Pokémon and the wild Pokémon are opposite genders.
Luxury Ball: Works as well as a Poké Ball, but the caught Pokémon’s happiness value will raise faster than normal.
Premier Ball: Exactly the same as a Poké Ball, except it looks different. To get it, buy 10 or more Poké Balls at a time.
Net Ball: Works best on a Water or Bug Pokémon.
Dive Ball: Works best on Pokémon in the sea or underwater.
Nest Ball: Works better on Pokémon below level 30.
Repeat Ball: Works best on Pokémon you have already caught before.
Timer Ball: Works better the longer the battle takes.
Heal Ball: Works as well as a Poké Ball, but heals the Pokémon once it goes in your party after you catch it.
Dusk Ball: Works best at night or in caves.
Quick Ball: Works best if you use it at the very first turn of battle.
Park Ball: Only for use in the Pal Park.
Dream Ball: This ball mysteriously appears in your bag in the Entralink Forest, and lets you capture Pokémon you’ve encountered in the Dream World.
Cherish Ball: Not much is known about this Poké Ball. It is used to hold Pokémon given out at special events.

Is there any possible way i could be able to get a cherish ball into my bag?
I might be able to find more out about it if i do that. I’m guessing it might be used to catch rare pokemon, such as manaphy, or phione (which by the way i got a phione from “my pokemon ranch” and it showed it was caught by a cherish ball) but thats my guess. You should have a question on the site that asks what people think it does.That, or it’s just a ball that only nintendo can use and it’s like a master ball with a differnet skin (which would be cool btw)
I wonder if i could use an action replay to get one…
We have answered this on the Answers to Pokémon questions page.