The uniform and medals of Ben Roberts-Smith will remain on display at the Australian War Memorial for now.
The decorated war veteran lost his high-profile defamation case in the Federal Court on Thursday.
Justice Anthony Besanko ruled that lawyers for journalists and Nine newspapers were able to substantially or contextually establish truth over alleged unlawful killings and bullying.
On Thursday, Greens senator David Shoebridge called on the memorial to remove the former special forces commander's display.
The exhibit has been on show at the Hall of Valour since 2011 after Mr Roberts-Smith was awarded a Victoria cross for his service during his fifth tour of Afghanistan in 2010.
In a statement, the memorial explained its reasoning for keeping the exhibit on display.
It said the purpose of the memorial was to assist in remembering, interpreting and understanding the national experience of war and its enduring impact, and that includes "the causes, conduct and consequences of war".
"The memorial acknowledges the gravity of the decision in the Ben Roberts-Smith VC MG defamation case and its broader impact on all involved in the Australian community," the statement said.
"This is the outcome of a civil legal case, and one step in a longer process.
"Collection items relating to Ben Roberts-Smith VC MG, including his uniform, equipment, medals and associated artworks, are on display in the memorial's galleries.
"We are considering carefully the additional content and context to be included in these displays.
"The memorial acknowledges Afghanistan veterans and their families who may be affected at this time."
Senator Shoebridge has led the campaign for the display to be removed immediately.
"If this judgement stands, the first step in correcting the official record is for the Australian War Memorial to immediately remove Ben Roberts-Smith’s uniform from public display and to begin telling the entire truth of Australia’s involvement in that brutal war," the senator said.
The ABC contacted Veterans Affairs Minister Matt Keogh about the calls for the exhibit to be removed.
Mr Keogh's office did not answer questions on the matter and instead directed the ABC to the war memorial.
Albanese withholds comment on court case
This afternoon, Prime Minister Anthony Albanese sidestepped a question about Mr Roberts-Smith's failed defamation action.
Speaking from Singapore, Mr Albanese said he would not comment on the case given the potential for further legal action.
"The determination that was made yesterday was the determination of a civil proceeding between two parties," he said.
"It didn't involve the government and it will be inappropriate to comment on the detail of that given the potential that is then there for future action that the government may be a party to."
Mr Albanese dismissed suggestions the findings had damaged the Australian military's reputation.
"Australia's international standing is extraordinarily strong including the standing of our defence forces and our defence personnel," he said.
