Former CIA Director John Brennan, the target of one package sent to CNN, fired back. Each package had computer-printed address labels and six "Forever" stamps, the Federal Bureau of Investigation said.
A major scare occurred in CNN office after an explosive device was discovered in the building.
None of the eight packages detonated, and nobody was hurt.
There has been no claim of responsibility and no one was yet known to have been arrested.
"I want to make very clear that the people of New York City will not be intimidated; that we're going to go about our lives undeterred - because the very concept of terrorism is to change us, and we will not allow that to happen".
Some leading Democrats were quick to accuse Trump himself of stoking the potential for political violence by frequently engaging in hyper-partisan, vitriolic rhetoric. Clinton said. "And it's a time of deep divisions and we have to do everything we can to bring our country together". "The FBI advises the public to remain vigilant and not touch, move or handle any suspicious or unknown packages".
It was not immediately known whether the package found in the CNN mail room was similar to suspicious packages sent to the homes of Obama and Clinton.
Governor Cuomo said a device was sent to his office, and law enforcement won't be surprised if more suspicious packages are found. Sciutto also revealed that 58th St. east of 9th Ave. has been closed off while a "containment vessel for explosive device" arrived on the scene. Each bore a computer-printed address label and six "Forever" postage stamps.
This news follows reports that a bomb was also found on the property of prominent liberal activist and Democrat fundraiser George Soros. Both bombs were intercepted before they reached their residences.
Just two days earlier, CNN's offices in NY were evacuated when the package for Brennan, addressed to him at the network, was found in the mailroom.
CNN evacuated its NY bureau after the pipe bomb was found in the mailroom together with an envelope containing white powder.
But in a statement, the Secret Service said after that package addressed to Hillary Clinton was caught late Tuesday, a second package addressed to Obama "was intercepted by Secret Service personnel in Washington, DC" on Wednesday morning.
Neither Clinton nor Obama received the packages sent to them, and neither was at risk because of screening procedures, the Secret Service said.
The packages were "clearly an effort to terrorize people politically, to choose people for political purposes and attack them due to their beliefs", New York City Mayor Bill de Blasio said. "The United States Secret Service and other law enforcement agencies are investigating and will take all appropriate action to protect anyone threatened by these cowards".
All of the targets are frequently maligned by right-wing critics.
What has the White House said about the packages?
"The president, and especially the White House press secretary, should understand their words matter. Thus far they have shown no comprehension of that". When asked why Sayoc allegedly targeted Democrats, Sessions said he "appears to be a partisan, but that would be determined by the facts as the case goes forward".
Michael Flynn Jr., the son of the former national security adviser, called the mail bombs "a total false flag operation" in a series of tweets he later deleted.
President Donald Trump said on Twitter that he "wholeheartedly" agrees with Pence's condemnation.
Later at a rally in Wisconsin, he urged unity.
"Have you ever seen this?"