Air New Zealand cancelled one morning Melbourne - Auckland service on Monday and several domestic flights, affecting about 2000 passengers in total.
"However, closer inspection after excavating the pipeline has shown that the damaged section needs to be replaced".
Travellers are advised to check the Auckland Airport website.
According to Auckland Airport, which sees about 18 million passengers a year, oil companies are responsible for the transport and supply of fuel used by airlines, and that supply has been reduced.
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Most of the cancelled flights are to or from Ryanair's busiest airports, including Barcelona, Rome and Stansted. Passengers are entitled to assistance and compensation, if the disruption was within an airline's control.
A total of 23 global and domestic flights have been cancelled in the last 24 hours, Auckland Airport corporate affairs manager Simon Lambourne told Reuters.
Mr English said he did not have details about what impact the shortage could have.
Further, the company said in a statement to the New Zealand stock exchange on Monday engineers were at the site of the leak about eight kilometres south of the refinery.
The company is doing all it could to fix the pipeline, she says.
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The first ODI of the five-match series will be played at the MA Chidambaram Stadium, Chepauk in Chennai on Sunday, September 17. Hardik Pandya fired with bat and ball as India defeated Australia by 26 runs on DLS in a rain-affected first ODI in Chennai .
A few flights with Jetstar, the Melbourne-based low-priced airline, have been rescheduled, while there have been minimal disruptions to flights with Virgin Australia and no cancellations reported as of yet for flights with Emirates and Singapore Airlines.
"We will have additional staff in the terminals supporting passengers and addressing any questions or concerns they may have", he said in a statement.
Auckland Airport's ASX-listed shares were up 1.91 per cent to $5.88 on the news. The airport is working closely with airlines to monitor the impact of the temporary disruption, said Adrian Littlewood, chief executive for Auckland Airport.
The pipe also supplies petrol and diesel to drivers in Auckland, but the country's energy minister Judith Collins said it was unlikely that motorists would be inconvenienced, as fuel was being trucked in from the refinery.
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Republicans in the Senate are considering voting on another Obamacare repeal bill before September 30, Politico reported . McCain spokeswoman Julie Tarallo said the senator is continuing to "review" the text Cassidy introduced last week .
Long-haul flights have been advised to refuel at other New Zealand airports or worldwide airports, including in Australia and Fiji, while all flights flying into Auckland have been advised to carry enough fuel for its journey out of the hub, the New Zealand Herald reports.