The package was mailed to the actor's offices in TriBeCa, according to CNN. The devices were made from PVC pipe and covered with black tape. The package was placed into a bomb disposal truck and driven to an NYPD firing range in the Bronx.
A building worker called police early Thursday after seeing news about suspicious devices sent to political figures and then remembering spotting a similar package in recent days, WNBC said.
A beefed up security presence was seen outside the former vice president's home in Greenville, Delaware on Wednesday.
On Thursday, without directly referencing the explosive devices, Trump again blamed the media for the "anger" in society.
Law enforcement says the bombs were packed with shards of glass, however, none of the packages reached their intended targets. The package appears similar to pipe bomb packages recently mailed to top Democrats nationwide.
Bombs have been sent to the Chappaqua, N.Y., home of Hillary Clinton, the D.C. home of former President Obama, and to former CIA Director John Brennan at CNN headquarters in NY.More news: More than 20 injured in Rome escalator collapse
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Another pointed out the device sent to CNN was wrapped in an Islamic State flag, although it was identified as a parody version of the distinctive design. "That doesn't mean he can't have bombs that are operational".
Trump said: "Any acts or threat of political violence are an attack on our democracy itself. This egregious conduct is abhorrent".
On Wednesday, Trump held a relatively subdued political rally in which he told the crowd he was "trying to be nice" in light of an apparent assassination attempt on his political rivals. "Don't let the terrorists win", he said.
The FBI confirmed Thursday morning that two packages were addressed to Biden and one was addressed to De Niro, and that they were similar in appearance to others. Officials searched those images overnight and found several other suspicious packages, a law enforcement official said. The parcel intended for Holder ended up rerouted to the return address printed on all the packages - the Florida office of United States representative Debbie Wasserman Schultz, a former chair of the democratic national committee, according to the Federal Bureau of Investigation.
"First, I wanna say, 'f**k Trump, '" De Niro said.
The actor famously said he'd "like to punch" Trump in his face in a viral video after being asked 'what do you care about?' by non-partisan campaign #VoteYourFuture.
The spree of bomb alerts was kicked off Monday with a device found at the NY home of billionaire liberal donor George Soros.
Cuomo said New Yorkers should go about their business as normal on Thursday. "There is a pattern".
The flurry of mail bomb activity has sparked the creation of a federal task force to hunt for the source of the packages.