Families who lost loved ones in the US military say they invited Donald Trump to Arlington National Cemetery for a ceremony that led to controversial accusations of a worker being assaulted.

Trump’s campaign has issued a statement from the Gold Star military families as they defended the US Republican presidential nominee and insisted that Vice-President Kamala Harris was the candidate politicising fallen US service members.

It is the latest volley in an extended back and forth as Trump tries to saddle Harris with the administration of US President Joe Biden’s handling of the chaotic withdrawal from Afghanistan in 2021, including a bombing that killed 13 US service members.

Harris on Saturday (US time) accused Trump of staging a “political stunt” that “disrespected sacred ground” where many Afghanistan war dead are buried.

Trump and the families of some of those killed in the bombing blame Harris, as they did Biden before he ended his re-election bid, for their loved ones’ deaths.

The families say the former president was honouring their loved ones when he went to Arlington last week.

His campaign later distributed images of the visit despite the cemetery’s prohibition on partisan activity on the grounds.

“President Trump was invited by us, the Gold Star families, to attend the solemn ceremonies commemorating the three-year anniversary of our children’s deaths,” the relatives’ joint statement said.

“He was there to honour their sacrifice, yet Vice-President Harris has disgracefully twisted this sacred moment into a political ploy.”

Gold Star families are those who have lost a loved one in US military service.

Trump laid wreaths last Monday in honour of Sergeant Nicole Gee, Staff Sergeant Darin Hoover and Staff Sergeant Ryan Knauss.

They were among 13 US service members and more than 100 Afghans who died in an August 26, 2021 bombing at Hamid Karzai International Airport as US forces withdrew from Afghanistan.

Trump thanked the family members for their statement via social media.

“Thank you for saying you wanted me to stand with you … and take pictures, that it was your request, not mine,” he wrote.

Throughout the weekend, Trump has used his social media accounts to distribute video testimonials from some relatives who signed the statement.

Christy Shamblin, Gee’s mother-in-law, said in a 90-second message that Trump and his aides were “respectful” and “a comfort” to the families who gathered at Arlington.

Then she directly addressed her remarks to Harris.

“Why won’t you return a call and explain how you call my daughter-in-law’s death a success?” Shamblin said.

“Why would you take a day where we celebrated the deaths of our loved ones and use it to disparage not only them, but us.”

Biden and first lady Jill Biden went to Dover Air Force Base in 2021 for a ceremony to return the service members’ remains to US soil. While there, they also met family members privately.

The Bidens were joined at Dover by top aides in the administration, including Defence Secretary Lloyd Austin, then-chairman of the Joint Chiefs of Staff General Mark Milley and Secretary of State Antony Blinken.

Shamblin was among the several family members who also spoke at the Republican National Convention in July on Trump’s behalf.

Other family members have joined Trump’s running mate, Senator JD Vance of Ohio, on a conference call with media.

Trump’s appearance ballooned into controversy after defence officials said his campaign was warned about not taking photographs and that there was an altercation between Trump aides and a cemetery employee.

Officials have said since that an employee whom two Trump campaign staff members allegedly “verbally abused and pushed” aside has declined to press charges.

-with AAP