Question

I've caught articuno, but how do I catch zapdos and moltres?

Answer 1

Zapdos is in the power plant, and moltres is at mt. ember. just catch them exactly like you would articuno.
Moltres is north of the sevii islands, some islands south of kanto (must beat game first).

and get Zapdos by going to the power plant by going to route ten, going up until you get past the tall grass, where there is a break in the fence, beyond that fence is a river, go down that river, and the power plant is at the end.

Comments

No big, I don't mind, just something that happens every once in a while that makes me laugh. I'm probably the slowest typer out there. XD

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Actually I probably am.
Though I'm getting faster.

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same for me, I'm getting faster at answering, I've been on a roll lately.

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Back to the answer: there is no tall grass in route 10

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Welp, found Zapdos, but everytime I get close to catching him he faints because he used struggle, so I gave up and tried to become champion.

It didn't work.

Answer 2

In leaf Green it is mostly same as all of Generation 1:

Articuno is found in the Seafoam Islands as you should already know

Zapdos is found in the Power Plant
http://answers.yahoo.com/question/index?qid=20071013185330AAEGU9F

Moltres is different than the original games; find him here:
http://answers.yahoo.com/question/index?qid=20070612090609AAjKwo4

If you run or faint a bird your chance is lost forever unless you didn't save so then you can just reset the game.
Source:
Experience, and the links
Hope I helped :)