The 34-year-old, who is serving as special assistant to President Donald Trump, said on Friday that he is experiencing “mild symptoms” and is “conducting contact tracing.”
“This morning, I tested positive for Covid-19. I am experiencing mild symptoms, and am following all appropriate protocols, including being in quarantine and conducting contact tracing,” he posted on Twitter.
Social media users were quick to speculate when the last time Mr Giuliani was in contact with his father, Donald Trump’s personal attorney, who made a public appearance at the RNC headquarters for a press conference on Thursday.
Reporters have said that Mr Giuliani was present at the conference on Thursday prior to his positive result on Friday.
A spokesperson for Rudy Giuliani did not immediately respond to The Independent’s request for comment on whether his son had attended the press conference or had close contact with the former mayor and if he would subsequently be quarantining.
During Thursday’s combative press conference, Rudy Giuliani, 76, appeared to be profusely sweating and seemed to have hair dye dripping down his face as he continued to push the president’s claims of election fraud.
His unusual apperance was noted with surprise by other members of the Trump team as he repeatedly wiped his brow and dark brown streaks started running down his cheeks.
At 76, Mr Giuliani is at higher risk for severe illness from the novel coronavirus, according to the Centres for Disease Control and Prevention.
Rudy Giuliani, who was a widely-respected prosecutor and mayor of New York before he began working with the Trump team, is currently leading a team of five lawyers fighting to overturn the result of the election.
The White House has seen a number of outbreaks among Trump administration officials since the pandemic gripped the country including the president, the first lady, the press secretary and the chief of staff.
On Thursday, it emerged that a top Pentagon official, Anthony Tata, who is serving as the undersecretary of defence, also tested positive for the virus.