The building was evacuated and New Yorkers were warned to stay away from Columbus Circle while authorities investigated.
NY police said it has sent officers to the Time Warner Center, where the CNN bureau is located, to investigate reports of a suspicious package. He said the devices appeared to be pipe bombs. Trump also often singles out cable news network CNN as he rails against the "fake news" media.
So far, eight different high profile Democrats or people who oppose the Trump administration haven been sent the explosives.
Last week an association representing White House correspondents accused Trump of "cheerleading" violence against the media after the president applauded an assault by a congressman on a reporter.
But the president joined political leaders of both parties in denouncing the threatened violence on Wednesday, which comes just ahead of the November 6 congressional elections. "These terrorizing acts are depicable and anyone responsible will be held accountable to the fullest extent of the law", said spokeswoman Sarah Huckabee Sanders.
The devices were similar to one found on Monday at the home of the billionaire philanthropist George Soros, and federal authorities were investigating whether they were linked, two law enforcement officials said, according to The New York Times.
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Suspicious packages sent to former Secretary of State Hillary Clinton and former President Barack Obama, as well as to CNN headquarters in New York City, were intercepted on Wednesday, law enforcement officials have confirmed.
A US official tells The Associated Press that a "functional explosive device" was found during screening at Bill and Hillary Clintons' suburban NY home. News anchors reported from the street outside and from other bureaus.
A major scare occurred in CNN office after an explosive device was discovered in the building. It was not immediately clear who the package was addressed to, but CNN evacuated its newsroom as a precaution.
The FBI said that a suspicious package was also mailed to former Attorney General Eric Holder but was rerouted to the return address in Florida. It's unclear if the package resembles the packages found elsewhere. The FBI did not provide more specific details.
The package addressed to Booker, D-N.J., was discovered at a postal facility in Opa-lock, Florida. Investigators are homing in on a postal facility in Opa-locka, Florida, where they believe some of the packages originated, another official said.
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Simon Atkinson, a video journalist for BBC Australia, was also aboard the royal couple's flight when they missed their landing. For his part, Harry said it was "very sweet" of his grandmother to lend his bride-to-be the priceless headpiece.
A law enforcement official told The Associated Press that the package discovered at Soros' home appeared to be a pipe bomb and was in a package placed in a mailbox outside the gates of the compound.
Investigators probing crude pipe bombs sent to prominent critics of President Donald Trump are trying to determine whether the devices were meant to detonate or simply to sow fear, law enforcement officials told The Associated Press Thursday.
The Secret Service says a second package was addressed to Obama and was intercepted in Washington.
"It is a troubling time, isn't it?" she added. "We've got to come together".
Republican lawmakers followed the White House in issuing condemnations.
Prominent conservative voices, including popular talk radio host Rush Limbaugh and frequent Fox News guest and conservative activist Candace Owens, suggested that "leftists" were to blame for the attempted terrorist attacks.
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He also expressed anger toward those who he said "failed to take measures that could have prevented this painful incident". At least 35 people were injured and a nearby bridge also collapsed, according to local media reports.