Argentina moved to an early lead with Federico Todeschini kicking a penalty goal after five minutes of play.
The scores were levelled by Daniel Carter in the 9th minute with a penalty goal for New Zealand.
Full-back Leon MacDonald scored the first try of the match to put the All Blacks in front.
Argentina moved in front with a try to Martín Durand in the 20th minute, with Todeschini adding the conversion.
[1] After the victory in the 2006 Tri Nations, the All Blacks unbeaten in 2006, came in Europe to play four tests, with England, France (twice) and Wales.