The request follows two recent assassination attempts against the Republican presidential candidate. It also comes after Trump's campaign last month said he had been briefed by US intelligence officials on alleged threats from Iran to assassinate him.
A representative for the US Secret Service, which is charged with protecting presidential candidates, said "the former president is receiving the highest levels of protection" but confirmed the Trump campaign had requested more.
"The Secret Service will remain vigilant and continue to adjust and enhance its protective posture as needed to mitigate evolving threats," the representative said.
US President Joe Biden, speaking to reporters, said he has authorised security to protect Trump as if he were a sitting president, and if Trump's request falls in that category it should be granted.
Representatives for Trump's campaign did not immediately respond to a request for comment.
Trump survived an assassination attempt in July. (AP PHOTO)
According to the New York Times, Trump's campaign has been in contact with White House chief of staff Jeff Zients and acting Secret Service Ronald Rowe asking for military assets to protect the Republican candidate, who is facing US Vice President Kamala Harris in the presidential election.
Trump's campaign told officials that it has had to move, reschedule or cancel campaign events because of lack of adequate protection, the Times reported, citing four people briefed on the matter.
His campaign also asked for expanded flight restrictions over his homes and campaign rallies as well as pre-positioned ballistic glass at events in battleground states, the Washington Post reported, citing emails it had obtained and unnamed sources.
The Office of the Director of National Intelligence has acknowledged the September briefing to Trump but did not confirm any specifics. The alleged shooters in the two separate attempts have no known reported ties to Iran.
The US Secret Service faced widespread criticism after the first assassination attempt against Trump in July that led to the resignation of is director and other security changes.
Meanwhile, Harris will next week highlight her economic policies that benefit Black men, hoping to energise a voting bloc that some advisers fear has embraced Republican rival Donald Trump in large numbers, three sources familiar with the plans said.
Democratic presidential nominee Kamala Harris will campaign in Detroit next week. (AP PHOTO)
The policy focus will coincide with an event in Detroit on Tuesday where Harris will be interviewed by popular Black radio personality Charlamagne tha God, who has been critical of the Biden administration, the sources said.
Harris will discuss access to capital for Black entrepreneurs, ways to grow small businesses and housing solutions but will not touch on racial justice issues, the sources said. The policies will borrow from her broader economic package aimed at lowering costs and boosting the middle class, they added.
The proposals will be informed by a round of economic opportunity tours Harris took earlier this year, before she became a presidential candidate, that focused on Black men and featured stops in Atlanta and Detroit.
