How Do I Catch Deoxys In Pokemon Leaf Green Version?

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At the South-eastern corner of the third island map, there is a small
island with Deoxys on it.

There will be a triangle puzzle you need to solve to get into battle against
Deoxys. If you press the triangle, it will move randomly. Now you need to get
to the triangle and press against it in as few steps as possible. If you did
not do this properly, the triangle will move back to its original position. If
you do the puzzle correctly, it will glow hot gradually. Once you've move the
triangle enough, the ground will shake, and the triangle will be shattered into
pieces. Soon you'll see Deoxys descending down the sky.

Deoxys > Catch Difficulty: Very Hard
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Deoxys will be at level 30. It has different sprites in the different versions

Source: CheatCC.com
of the game if you managed to capture it.

You catch him after you get all the symbols from the battle frontier.you get an auroura ticket and go to auroura island

Deoxys is on 6 island left of dotted hole at lv 30

Go to rainbow island 9 and there will be a puzzle there so figure out the puzzle

Go to birth island

No possible way unless you cheat. .