The move to get more fans to the game comes after a nail-biting Bledisloe Cup opening match at Eden Park over the weekend.
Australia missed out on a potential 12 points after three missed conversions and two missed penalties. The All Blacks won the game 33-25.
NZ Rugby chief executive Mark Robinson says they are thrilled about the airline's move that would help in some way to soften the blow for fans in Wellington who missed out on an All Blacks test in their home city.
"We hope to see as many of them at the match this weekend as possible," he said.
Tickets to the match, which kicks off at 7.05pm on Saturday, are only available via the Grabaseat website and are on offer until tomorrow, unless they are sold out before that.