The bomb squad was investigating the package discovered at Wasserman Schultz's office, a local police spokesman said.
Inside the packages sent to three of the potential targets - former President Barack Obama, former Central Intelligence Agency director John Brennan and Waters - were a picture of each person with red "X" marks on them, according to the criminal complaint, filed by federal prosecutors in the Southern District of NY.
Mr De Niro has been a vocal critic of President Trump, drawing a standing ovation after an expletive-filled speech at the Tony awards in June. Officials provided no details on a possible suspect or motive. Two packages were found addressed to her. Some were discovered in mail processing facilities.
New York Gov. Cuomo said the two suspicious devices found in New York City shouldn't stop people from going about their business as normal. Even with the sender still unknown, politicians from both parties used the moment to decry a toxic political climate and lay blame. "It has gotten so bad and hateful that it is beyond description". Mainstream Media must clean up its act, FAST!'
CNN, citing a law enforcement official, was initially told a suspicious package containing a pipe bomb that was addressed to the White House was intercepted at Joint Base Bolling in Washington, DC. Hours earlier Trump had complained via tweet that "this "bomb" stuff" was taking attention away from the upcoming election and that critics were wrongly blaming him.
In addition to the race hatred and lies he spreads on a regular basis, this week he encouraged direct violence against the media.
President Donald Trump says he's trying to be nice as he criticizes Sen.
The politics belied the life-and-death nature of the growing list of bombing targets in New York, Delaware, Washington, D.C., Florida and California.
An earlier Federal Bureau of Investigation statement said the other packages consisted of a manila envelope with a bubble-wrap interior containing "potentially destructive devices". Debbie Wasserman Schultz, D-Fla., because her name was listed as the return address on all of them.
The package had actually been received in the general mailroom on Wednesday, according to a law enforcement official. A law enforcement official says a suspicious package addressed to former Vice President Joe Biden was found in New Castle County, Del.
Recovery of the packages to Biden and De Niro came after others were received by prominent Democrats and CNN.
The discovery of the packages comes a day after another package containing an explosive device was found outside the home of billionaire philanthropist George Soros at his home in suburban NY.
But Trump skipped his usual attack on what he calls the "fake news" media for not showing enough of his crowds.
The TV channel reports that the intercepted packages are similar to the ones intercepted earlier by the US Secret Service, mailed to former US Secretary of State Hillary Clinton and former US President Barack Obama. Some packages have reached the goal, but none detonated.
Authorities found bombs this week intended for at least seven officials, including Hillary Clinton, Barack Obama and Democratic Rep. Maxine Waters. His ended up at the Florida office of Democratic Rep.
Shortly after the Secret Service made that announcement, the Time Warner Center, a major office complex in Midtown Manhattan, was evacuated after a similar device was discovered to have been sent to CNN's offices there. 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.
Even as Trump touted civility at Wednesday night's rally, some of his most influential supporters were suggesting - without evidence - that Democrats were involved in a "false flag" operation created to garner sympathy.
"Let's get along", he said.
"You should take good where you find it", Cuomo said, "and you see a country that seems to be universally appalled by what has happened". "Have you ever seen this?"
"Acts or threats of political violence have no place in the United States", Mr Trump said. But Democratic Senate and House leaders Chuck Schumer of NY and Nancy Pelosi of California said such words "ring hollow" when coming from Trump.
Images from the scene show people leaving the building.
"The full weight of our government is being deployed to conduct this investigation and bring those responsible for these despicable acts to justice; we will spare no resources or expense in this effort", he told a gathering in the East Room of the White House.