The All Blacks were 35-17 victors against the Pumas in Buenos Aires as the world champions secured the title for a third consecutive year on Saturday.
New Zealand were upstaged by South Africa in their previous outing but avoided back-to-back defeats for the first time since 2011 thanks to Rieko Ioane's double.
The All Blacks led 21-3 at half-time after Ioane crossed over twice before Argentina mounted a late comeback in the capital city.
