How to find the End Portal on Xbox 360 minecraft

It's possible but unlikely. End Portals do spawn in strongholds in the console version of Minecraft, so it's not an issue of version. It's possible, however, that the portal was overwritten by something else in world generation (a dungeon in precisely the same place, or a mineshaft running through your stronghold).

What is more likely, though, is you haven't searched the entire thing. Strongholds are quite extensive, so it can take a long time to go through the whole thing (speaking from experience, I have made bases in strongholds a few times. They can be huge).

Unfortunately, since you are on the console version, ender eyes only point you to the stronghold itself, not the portal, so the only real advice I can give you is to keep looking, and clearly mark where you have been. I like to put torches on the right-hand side of corridors as I move through them, so I know if I am backtracking or not.

what I did was use the ender eye and dig into the strong hold then blow up whatever part of the stronghold I'v already been to so there is no chance of back tracking... but try not to use very much TNT or you might have some problems