Some of the remains have been held for over 100 years by the museums in Exeter, Cornwall, Bristol, Manchester, Tyne-and-Wear and London's British Museum.
, often for 100 years and more, are to be returned home within months.
Indigenous Affairs Minister Mal Brough said the remains will return to Australia once consultations with indigenous communities are completed.
"It is a fitting outcome from more than 20 years of campaigning by indigenous Australians and many years of work by the Australian and British governments and by the British institutions which have held these remains often for more than 100 years," he said in a statement.
"I want to acknowledge the dedicated efforts of Rodney Dillon, a Tasmanian Aboriginal leader, and other indigenous people, whose hard work has helped secure the return of these remains."
British museums currently hold 40,000 Aboriginal artefacts and human remains, collected almost from the time of first colonisation for various reasons, including scientific research.
Some of the remains are the grandparents of people who are still alive, and indigenous communities have long called for the remains to be returned to them.
Mr Brough said the federal government has welcomed the British Museum's recent announcement that it had agreed to return remains of indigenous Tasmanians, describing it as a positive sign.
In 2001, the British government established a working group on human remains in UK museum collections, which produced a comprehensive report confirming the value of returning remains to indigenous people.
It also passed the Human Tissues Act in 2004 which allows national museums to release remains where previously they were not permitted.
A guide for the care of human remains in museums was published last year.
Mr Brough said during the same period, the Australian government had supported the British government and requested 21 museums to return indigenous remains.
He said Australia posted a repatriation projects officer at the Australian High Commission in London last year to assist these museums.