One package was found at a postal center in New Castle, while the other was found at a facility in Wilmington.
The official wasn't authorized to discuss an ongoing investigation publicly and spoke to The Associated Press on the condition of anonymity.
Those packages contained pipe bombs packed with shards of glass.
This is the suspect device the so-called MAGA bomber sent to Robert De Niro's NY restaurant disguised as a package from a top Democrat politician. The package, considered suspicious because of its similarities to the others, was misaddressed and returned to the sender; US Postal inspectors are working to locate the package.
There has been no claim of responsibility and no one was yet known to have been arrested. Trump has repeatedly criticised CNN as "fake news" and disparaged the mainstream news media as an "enemy of the people".
"Stop blaming others. Look in the mirror".
The President on Wednesday condemned the person or persons sending the packages, saying: "Acts or threats of political violence have no place in the United States".
He added that the President's "critics will not be intimidated into silence".
Similar packages addressed to Hillary Clinton and former President Barack Obama were intercepted on their way to Chappaqua, New York, where Clinton lives with former President Bill Clinton and to Washington, where Obama lives with his wife, Michelle.
"There is a total and complete lack of understanding at the White House about the seriousness of their continued attacks on the media", CNN President Jeff Zucker said in a statement read on CNN.
Actor Robert De Niro has always been a vocal critic of President Trump.
All the devices were sent to an Federal Bureau of Investigation lab in Virginia to be studied.
The official was not authorized to speak publicly and therefore talked to the AP on condition of anonymity.
The New York City police bomb squad has removed the package sent to De Niro.
According to CNN, authorities believe several of the packages went through a processing and distribution facility in Opa-locka, Florida.
None of the bombs have detonated and nobody has been hurt in any of the incidents.
Trump yesterday morning blamed the media for provoking anger in Americans - but did not directly reference the bombs. FBI Director Christopher A. Wray issued an appeal for the public's help to catch the bomber and warned people not to touch suspicious packages.
The Taxi Driver star opened his speech by calling Trump "blantantly stupid", before going on to label the billionaire president a "punk", "dog", "bullsh*t artist", "fool", "mutt", "bozo", "pig", "con", "idiot" and "national disaster".
"It has gotten so bad and hateful that it is beyond description".
Police have sent the package to a secure facility in the Bronx, New York Police Department Commissioner James O'Neill said on Twitter. It had the same return address used on the other packages.
The NYPD says the device was taken from 375 Greenwich Street in the Tribeca neighborhood around 6:30 a.m. Thursday. A police spokesman said the parcel "was similar to explosive packages that had been publicized".
NY police say they're responding to reports of a suspicious package.
The recipients of the pipe bombs have always been targets of the president's supporters.
At least ten explosive devices have been sent to Democratic political figures across the country, including the CNN headquarters in Manhattan.
The packages heightened nationwide tensions and fears two weeks before major congressional midterm elections.
De Niro, who received a loud ovation when he hurled an obscenity at Trump at the Tony Awards last June, also was targeted, the official said.
She defended Mr Trump's tweet attacking the media and said: "The president feels we should call out despicable acts, which is what he has done, but day in day out there's a negative tone - 90% of the coverage is negative".
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