It was the Kangaroos second win under Meninga from two attempts after their 16-0 defeat of the Kiwis in Newcastle in May.
"I am very happy with the performance," Meninga said.
"Our start was excellent and we really dominated field position. They wrestled that back and started to control the ruck better. We responded and I was really happy with that.
"Our defence was really good but we can play better with the footy."
Inglis capped off a fantastic week which began with the birth of his daughter Quinn Sybella on Monday and ended with a try in each half and a dominant effort out wide which brought 164m.
Inglis trained with the team for the first time at Friday's captain's run after arriving in Perth on Thursday.
"Greg says he doesn't need to train now," Meninga joked.
"He said he will just do the captain's runs before each game.
"It just goes to show what a professional he is."
Australia dominated early and led 8-0 after 14 minutes courtesy of tries to Darius Boyd in the ninth minute and Inglis' first in the 14th minute.
The Kiwis gained the ascendancy after that and a Kevin Proctor try in the 22nd minute meant the Australians went to the break with an 8-6 lead after a defence- dominated first half.
After the break a gusty but clumsy Kiwis side couldn't match the Australians.
Holmes scored his try in the 45th minute, Inglis added his second in the 69th minute.
A Boyd Cordner touchdown three minutes from time sealed the win.
It was a tough initiation for new Kiwis coach David Kidwell in his first Test in charge.
"It was a disappointing result but it wasn't disappointing the way we started the camp," Kidwell said.
"We prepared very well and if we keep doing that nine times out of 10 we will get the result."
