An official announcement from the online retail giant is expected as early as Tuesday, the newspaper said, quoting people familiar with the issue.
The Wall Street Journal reported Amazon's proposed plans earlier on Monday.
Amazon.com will today announce it has selected NY and Northern Virginia for its second headquarters, a source told Reuters.
The Journal last week quoted an anonymous source as saying Amazon decided that dividing its second headquarters between two locations would spread the economic benefits as well as burdens - such as pressure on housing and transportation.
Amazon had narrowed its search to 20 locations, with the need for high-skilled workers at the top of its list, along with a strong quality of life and access to transportation hubs.
Still, landing HQ2 would represent "incredible validation of just how far NY has come", says Jonathan Bowles, executive director of the Center for an Urban Future think tank.
The headquarter split will give Amazon more diversity for recruiting and could also help lessen congestion and cost of living increases that would have accompanied one bigger office.
Dallas and Austin were among the 20 finalists - 19 in the US plus Toronto - in what became a yearlong search for a suitable second-but-equal headquarters to Amazon's original Seattle home.
Amazon's decision will likely lead to more foreign visitors, fuel more global flights and potentially stimulate more exports. The company also weighed whether it would be one of the largest companies in a city, something that might make it a magnet for the same kind of scrutiny it receives in Seattle over social problems.
Still, the process has resulted in a year of positive publicity, highlighting Amazon's ability to create jobs and investments, even as the company has faced critics ranging from U.S. President Donald Trump to Vermont Sen. "It was also a platform for cities to promote themselves to a global audience". Amazon has said it might consider some also-rans for other projects.
The choice of its new office sites follows Amazon's September announcement that it would raise its minimum wage for warehouse workers to $15 (U.S.) an hour.
"I joke that we're experiencing explosive growth 30 years in the making", says Elizabeth Lusskin, president of the Long Island City Partnership, a neighborhood development group.