The South Americans battled gamely, but poor discipline cost them dearly as Dan Carter's replacement Piri Weepu kicked six penalties.
After Weepu had struck two early penalties, Argentina took a shock lead after half an hour as Julio Cabello bashed his way over the line.
Weepu converted two more penalties to restore his side's lead after the break and although Marcelo Bosch kicked well from halfway at the start of the second period, the half belonged to the All Blacks.
Weepu kicked two more penalties before Chris Jack touched down another try.
Another Weepu penalty followed and a Brad Thorn try completed the scoring to ensure a last four encounter against Australia next weekend.