The helicopters would continue to fly 24 hours a day - around 3300 hours a year.
In the past year, the Eagle crew had attended more than 6000 incidents in Auckland and further afield.
The Eagle team will now be based at the Onehunga site, moving from the current location at Mechanics Bay.
The police supplier was changed last year from the Aerospatiale helicopters, which had been used since 1989.
The new contract cost $42 million over five years, around $2m more a year than the previous supplier - which Bush said was "money well spent".
He said the new helicopter base was chosen because it was the home of new supplier Advanced Flight Limited, and not because of the steady stream of noise complaints from residents near the Mechanics Bay site.
But he noted, happily, that noise complaints had halved since the new base had been used.