Surrounded by a throng of police, Jones declined to comment to reporters who waited for him at LaGuardia Airport and followed him to a waiting cab.
"I'm talked out," he said.
Activists in New York insisted their intentions were peaceful.
"It's a rally of remembrance for tens of thousands who lost loved ones that day," said Pamela Geller, a conservative blogger and host of the anti-mosque demonstration. "It's not a political event, it's a human rights event."
The site of the proposed mosque and Islamic center is already used for services, but it was padlocked Friday, closed until Sunday. Police guarded the block, and worshippers were redirected to a different prayer room 10 blocks away.
More than 2,000 supporters of the project, waving candles and American flags, held a vigil near the proposed Islamic center's site Friday evening instead of Saturday, saying they wanted to avoid entangling the mosque controversy and the Sept. 11 observance.
Organizers "believe that tomorrow is a day for mourning and remembrance," said Jennifer Carnig, a spokeswoman for the New York Civil Liberties Union, one of the vigil's sponsors.
Stephanie Parker, daughter of 9/11 victim Philip L. Parker of Skillman, N.J., said she came to the vigil because she's troubled by what she sees as people wrongly equating all of Islam with the extremists who attacked the trade center, and by the way the furor surrounding the mosque has become entangled with the attacks' anniversary. She has previously spent those anniversaries with her family.
"I think the anniversary is being overshadowed," Parker, 21, a senior public relations major at Drexel University in Philadelphia, said in an interview as she relighted a candle that kept blowing out in a breeze.
U.S. Rep. Keith Ellison of Minnesota called for devoting Sept. 11 to honoring victims and the first responders who worked to save them -- not the Islamic center controversy.
"It is not proper or right to distract from honoring those heroes and remembering those victims. Not doing anything else than that tomorrow," Ellison, who is Muslim, told the crowd. "And yet we know the possibility of that is real."
For Jones, pastor of a 50-member Pentecostal church in Florida, it was to be a day to burn the Quran. He backed off that threat after drawing angry protests across the Muslim world, a call from the secretary of defense and impassioned pleas to call it off from religious and political leaders and his own daughter.
"There will be no Quran burning tomorrow," Jones' 29-year old son, Luke Jones, told reporters outside his father's Gainesville church Friday. He added that he could not predict what might happen in the future.
Terry Jones had previously said he would cancel his plan if the leader of the planned New York Islamic center, Imam Feisal Abdul Rauf, would agree to move the project to another location.
Jones claimed Thursday that an imam in Florida had told him the mosque would be moved. That imam later said Jones was mistaken, that he had only arranged a meeting with Rauf in New York on Saturday.
Rauf, however, said that wasn't true, either, that he had no plans to meet with Jones, although he added in a statement Friday that he is open to seeing anyone "seriously committed to pursuing peace."
The carefully worded text seemed to leave open the possibility of a meeting, but only if Jones proved himself to be a serious peacemaker. With that caveat, it would seem unlikely that the imam would meet with a man whose threat to desecrate the Muslim holy book stirred anger and protest and even some bloodshed in the Islamic world.