Auckland Airport Emergency Operation Centre shift manager Gabriel Thompson said the plane taxied to a remote hardstand where it was being assessed by aircraft engineers.
There were no reports of injuries and emergency responders were now debriefing the situation.
Playback of the flight on Flight Radar shows the craft began its journey at 11.08am.
Within minutes it reached over 4000ft altitude as it headed west of the airport.
When it reached the coast, it did a small loop and the altitude dropped to slightly below 4000ft.
The plane then continues in a large circle travelling clockwise and reaches 5000ft.
The flight path shows it travelling above Takapuna and over Rangitoto towards Waiheke, before looping back to the airport and ending its journey around 11.40am.
Boeing 787-8 Dreamliners only began commercial service in October 2011 while the slightly longer 787-9 Dreamliner, used by Air New Zealand, began flights in August 2014.