Roach barged into Lee twice during the 39th over of Australia's innings and pleaded guilty to the Level 2 breach of the ICC Code of Conduct.
Roach's behaviour was contrary to clause 2.2.4 of the ICC Code of Conduct for Players or Team Officials, which relates to "inappropriate and deliberate physical contact between players in the course of play".
Match referee Andy Pycroft said: "There is no doubt that Kemar deliberately made physical contact with Brett, not once but twice. This is completely unacceptable as there is no place for physical contact in cricket.
"Cricket teaches us to give utmost respect to our opponents at all times irrespective of what the match situation is. This was something which was clearly missing in this particular incident. It is not the sort of example that players should be setting at any time, least of all in a series as high-profile as this one.
"Kemar accepted his mistake and admitted that his behaviour was over aggressive and inappropriate. I am sure he has learnt his lesson and will be more careful in future."
All Level 2 breaches carry a minimum penalty of a fine of 50 percent of a player's match fee and a maximum penalty of a suspension for one Test, two ODIs or two Twenty20 Internationals.
© Cricket World 2012
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