Air New Zealand carried 1.24 million passengers last month, 31,000 more than in the same period last year.
Short-haul passenger numbers increased by 2.3 per cent and long-haul passenger numbers rose 4.3 per cent compared with June last year.
Seat capacity, multiplied by the distance flown, increased 8.8 per cent for short-haul flights and 3.7 per cent for long-haul flights.
Passengers carried multiplied by the distance flown increased by nearly 20 per cent on services to Asia, Japan and Britain.
Passenger demand on the Tasman and Pacific routes increased 2.8 per cent, while capacity increased by 3.8 per cent.
Demand on Asian, Japanese and British routes increased 17.1 per cent, with capacity increasing by 9.5 per cent.
In June, 88 per cent of Air New Zealand's domestic jet flights departed within 10 minutes of schedule.
Group-wide yields for the financial year to date were up 1 per cent on the same period last year.