You have to train latios or latias to level 67 then go to the space centre and talk
to the guy looking out the window.He will say there are 67 launches.He will ask you if you want to travel to the moon say yes and then go up the stairs on the moon
and you will find deoxys
I'm not sure if it is the right answer though.
Another Answer
My friend has a friend who did similar to the above and got a Deoxys on the moon. Apparently, you must catch all the Pokemon in Heonn, then talk to the guy in the space station and say you want to go to the moon. Then, whilst up on the moon you can find Deoxys. He is level 70 so bring strong Pokemon with you like Raquaza, Groundon/Kyorge or both, Regice, Regirock, Registeel so on so forth.
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It Is Illegal!!
U can get deoxys in the starting of the game if u want..but u need to get ur game evented..or use cheats..without that..there is no way of getting deoxys..!
No you cannot. Only in Ruby,Sapphire,Firered,leafgreen,Emerald,
I found a Pokemon website called Serebii.net, and I also found out that in Ruby and Sapphire. You have to trade from Fire Red, Leaf Green, or Emerald to get Deoxys. So people who post questions about catching Deoxys in Ruby and Sapphire are the real liars. For those of you who posted answers like that. STOP MAKING LIES YOU TWITS!!!:@ :@ :@
deoxys didn't exist until generation three (ruby, sapphire, emerald) so is impossible to get in crystal, which is generation two :)