The threats were made on Tuesday night and Wednesday morning, and law enforcement acted quickly to ensure the safety of those targeted, spokeswoman Karoline Leavitt said in a statement.
Elise Stefanik, a US representative from New York and Trump's pick to serve as US ambassador to the United Nations, said in a statement on Wednesday that her family home had been the target of a bomb threat.
Stefanik said she, her husband and their three-year-old son were driving from Washington DC to Saratoga County in New York state when they were informed of the threat.
"New York State, County law enforcement, and US Capitol Police responded immediately with the highest levels of professionalism," Stefanik said.
— Karoline Leavitt (@karolineleavitt) pic.twitter.com/TvSRIg6R7GNovember 27, 2024
Later on Wednesday, Lee Zeldin, a former US representative from New York and Trump's choice to head the Environmental Protection Agency, said he and his family had been targeted.
"A pipe bomb threat targeting me and my family at our home today was sent in with a pro-Palestinian themed message," Zeldin said in a statement posted on X.
"My family and I were not home at the time and are safe. We are working with law enforcement to learn more as this situation develops."
Leavitt did not say who else was targeted and did not elaborate on the nature of the apparent threats.
An FBI spokesperson said the bureau is aware of numerous bomb threats and swatting incidents targeting incoming administration nominees and appointees, and is working with its law enforcement partners.
"We take all potential threats seriously, and as always, encourage members of the public to immediately report anything they consider suspicious to law enforcement," the spokesperson said.
Leavitt said the attacks "ranged from bomb threats to 'swatting'," - when a false crime is reported to induce a heavy, armed police response at someone's home.
"With President Trump as our example, dangerous acts of intimidation and violence will not deter us," Leavitt said.
Trump has been announcing picks for his cabinet and other high-ranking administration positions following his November 5 election victory.
He has not commented on the apparent threats.
They come months after Trump was wounded in an assassination attempt in Pennsylvania in July.
In a separate incident, a man was charged with attempted assassination in September after allegedly positioning himself with a rifle outside one of Trump's Florida golf courses.