The Briton, 31, who begins his title defence at the Australian Grand Prix on Sunday, posted videos on Snapchat of him travelling on a motorway.
It is illegal to use phones whilst driving in New Zealand.
Police reviewed the incident but will not be taking further action after citing a lack of "sufficient evidence".
"Auckland City Police will be taking no further action in relation to recent media publicity about Lewis Hamilton and his motorcycle journey in Auckland," a police spokesperson said.
"The video footage available does not provide us with sufficient enough evidence that an offence has occurred."
It is not the first time three-time world champion Hamilton has been involved in driving incidents.
The Briton was fined around £300 after performing car stunts for fans outside Melbourne's motor racing circuit, before the 2010 Australian Grand Prix.
He also had his driving licence suspended for a month in France in 2007 for speeding on a motorway.
And in November, Hamilton crashed his £1.6m super car in Monaco because "heavy partying" had left him tired.

Seven homes in York - some less than 50 years old - face closure, but two have been scheduled for emptying next year.
Grove House on Penleys Grove Street and Oakhaven on Acomb Road are home to 48 residents served by 61 staff.
City of York Council promised residents would be offered a range of alternatives including residential or nursing homes, or a place in sheltered housing with extra care provision.
A final decision on the closures is expected in October.
The authority said: "We recognise that the closure consultation process can be an unsettling and upsetting one and we will be working closely with them, and their families, to make sure they have the support and advice they need.
"However, we have to keep the aims of the wider older people's accommodation programme in sight."
The council said staff would be offered redeployment, voluntary redundancy or support in finding employment in the private sector.
The public sector union, Unison, said the decision was not "unexpected" and it was in talks with the council.
Plans to dispose of the care homes have been discussed since 2012.
The previous Labour administration had opted to close all its homes and build two specialised units with support for people with dementia and those requiring high dependency care.
The scheme was dropped in February when officers decided it was no longer affordable.
The current Conservative-Liberal Democrat run authority still plans a phased-closure of all its homes, replacing them with additional sheltered housing places with extra care for people with more complex needs, a new residential home and purchasing additional beds from the private sector.

The 27-year-old, who helped Roma finish second in Serie A last season, had been linked with a move to Premier League sides Chelsea and Manchester United.
Bayern were looking for a defender after Spain international Javi Martinez was ruled out until the New Year with ruptured cruciate knee ligaments.
Roma have replaced Benatia with Olympiakos defender Kostas Manolas.

Sports minister Dayasiri Jayasekara told Sri Lanka's players they were too fat after they failed to reach the Champions Trophy semi-finals.
Malinga, 33, responded by saying he did not care for criticism "from those who are simply warming chairs".
"What does a monkey know about a parrot's nesting hollow?" he added.
"This is like a monkey getting into a parrot's nest and talking about it."
Jayasekara said Malinga's comments were a breach of his contract with the country's cricket board.
"In my criticism of the appalling fitness levels of our players, I did not name Malinga, but he has chosen to put the hat on and attack me publicly," he added.
Malinga won the Indian Premier League title with the Mumbai Indians before the Champions Trophy, and missed Sri Lanka's high-altitude training.
Jayasekara spoke out after Pakistan skipper Sarfraz Ahmed was dropped twice off the bowling of Malinga as Sri Lanka failed to progress from their Champions Trophy group.
"The typical body fat amounts for a cricketer should be about 16%, but most of our players have over 25%," he said.
"I want the results analysed and in future no-one will be included in a national squad if they are above 16%."
Formula 1 world champion Lewis Hamilton has been investigated by police after appearing to take a selfie while riding a motorbike in New Zealand.
[NEXT_CONCEPT]
Elderly people face having to move out of care homes deemed out-of-date.
[NEXT_CONCEPT]
German champions Bayern Munich have signed Morocco defender Mehdi Benatia from Roma for an undisclosed fee.
[NEXT_CONCEPT]
Fast bowler Lasith Malinga is being investigated by Sri Lanka's cricket board after comparing the country's sports minister to a monkey.