At the moment he is, but it is true that he is trying to give up, as well as Kristen Stewart.
Yes, Robert does smoke.
In the movie Remember Me, he is seen smoking.
If you've seen some of the pictures from the Eclipse set, he is seen smoking.
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No, He doesn't smoke. There are many people, who dislike him and put pictures of people who look like him or made pictures of him with a cigarette in his hands, which is truly fake. So, No.