It will then make its way to the UK via Australia, South Africa and Dubai.
"This will be the last chance for Kiwis to see the cup before the finals and it was a pleasure to escort it back into the country," Kahui said.
The winger believes the 2015 All Blacks can win back-to-back Rugby World Cups in England.
"It is a big ask to win it away from home but we have the spread of players and the blueprint from the last time to do it."
He has another two years to run on a contract with Japanese club Toshiba Brave Lupus.
Kahui became a father for the second time in March when his baby son Jake was born in Sydney.
He also has 17-month-old daughter Scarlett.
"I now want to be a good dad more than a good rugby player, and every day with the kids is special," he said.
Fans can have their photograph taken with the Web Ellis Cup today at Eden Park where it will be on display at Eden Park No2 ground from midday to 4pm.