The number of complaints made to the Christchurch City Council's noise control unit has risen from 18 to 39 since last Thursday.
Police are currently four weeks into a five-week trial of the helicopter.
The trial is set to finish on March 20. Police will then review how it has gone and consider making the Eagle a permanent fixture in Canterbury.
However, a city council spokeswoman said its noise rules do not apply to an aircraft in flight.
“If people have concerns regarding the police helicopter and any associated noise, then they should approach NZ Police,” she said.
Canterbury District Commander Superintendent John Price sympathised with residents concerned by noise, but says public safety is their priority.
“There is some noise, but when you weigh that up against the safety of people in our community, that is paramount.
“We have had in excess of 200 jobs that the Eagle helicopter has been deployed as a result of people calling for help and in those cases, 145 people have been apprehended,” he said.
On Monday alone, the Eagle dealt with 17 different incidents over two shifts.
This included a number of serious assaults and traffic offences.
Said Superintendent Price: “I want that sound to be a sign that police are looking after us.”
