Tamou, 24, has also been banned for one NRL match and fined 20,000 Australian Dollars.
The North Queensland Cowboy was arrested early on Monday morning in Townsville, after allegedly being caught almost four times over the legal limit and driving without a licence.
NRL chief executive Dave Smith said the facts were not in dispute and the penalties reflected the seriousness of the offences.
“This is a high level, high risk, high penalty situation,” said Smith.
“Drink driving puts lives at risk. Our players are well educated regarding alcohol management and there is no excuse for such behaviour.”
Tamou will now miss the chance to be part of what could be New South Wales‘ first series win since 2005.