Amazon will not build a new headquarters in New York City, a stunning reversal to an ambitious plan that would have brought an estimated 25,000 jobs to the city.

The online retailer faced fierce opposition from some New York politicians who were unhappy with the nearly $3 billion ($A4.23bn) in tax incentives Amazon was promised.

Along with thousands of jobs, the Seattle company had planned spend $2.5 ($A3.52bn) billion building its new offices.

“We are disappointed to have reached this conclusion — we love New York,” the company said in a blog post, adding that it already has 5000 employees in the city and plans to grow those teams.

It was a serious blow to Governor Andrew Cuomo and Mayor Bill de Blasio, who lobbied intensely to land the campus within city limits.

Critics see the project as an extravagant giveaway to one of the world’s biggest companies and argue it won’t provide much direct benefit to most New Yorkers.

Several welcomed the news that Amazon might be rethinking the plan. But the plan has strong support from the population as a whole.

A Quinnipiac University poll released in December found New York City voters support having an Amazon headquarters, by 57-26 per cent.

But they were divided on the incentives: 46 per cent in favour, 44 per cent against.

Amazon said on Thursday that it does not plan to look for another location at this time, and will continue with plans to build offices in Arlington, Virginia, and Nashville, Tennessee.

The Arlington campus was expected to be the same size as the New York one, with 25,000 employees. The Nashville office is expected to have 5000 employees.

Groups opposed to the arrival of Amazon cheered the announcement.

“This announcement marks a landmark victory for our communities and shows the power of the people, even when taking on the world’s richest man,” said Deborah Axt, co-executive director of the anti-poverty group Make the Road New York.

“Our members and allies stood firm against Governor Cuomo’s plan to give away more than $3 billion in taxpayer giveaways so that Amazon could force its empire-building on our neighbourhoods.”