Fail. First off, the Cherrish ball can only be used if you hacked with an AR to get it. Which means any pokemon you catch with it is not legit. Meaning you suck.
Ultraball is what everyone says. However, it is not the best to use.
The Duskball is 2 times better than the Ultraball against pokemon in caves and catching pokemon at night time. When not in a cave or in night, it has the same capture ratio as an Ultraball.
It's very well rounded. Fairly cheap, too, if you have a lot of cash. Besides that I'd choose the Safari Ball. They're super cheap and you can catch rare Pokémon with 'em.
Karkorot is correct. Dusk, Quick, and Timer Balls in their optimal conditions are the best Poké Balls. They have a higher chance of capture than Ultra Balls.
for some reason i catch way more pokemon if i use a great ball. i usualy catch a pokemon useing only 1 great ball. it takes like 3 for an ultra ball :/vbut the dusk ball is the best (if used in a cave and/or when its dark
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The Timer Ball is the best. Once 30 turns have passed, it has a capture rate of 4, which is above all else, including the Dusk Ball, which has a max rate of 3.5
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Yeah. Statistically it has the possibility of being the strongest; however, it takes gawdawfully long to get it that strong, so it's impractical in most situations.