Patrice,
Any time this question comes up, it always raises a larger question of why? What is the purpose of 2 different domains if they contain the same content? It's almost always inadvisable to do this, but there are a few use cases where it's necessary. If you could provide some more details on the why, I can help answer your question a little better.
Alternatively, if you don't have a solid "why" or it doesn't come to you immediately, you might consider scrapping one of the domains 