I have no trouble doing the glitch but sometimes i die when i get to the top of the screen and I really don't know why.

Can somebody help me?

This just happens, and you can't do anything about it. After failed ladder glitch, just reset your console/emulator and everything will work as it should.

I installed the Japanese version of the game and I don't die anymore

Oh well, I guess that works too. LUL

The reason for this is because you're resetting the emulator, if you click 'power' instead of 'reset', you should never die while climbing down.