The conservative Samuel Griffith Society has been added to the list of charities and not-for-profits that can receive tax-deductible donations.
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And animal rights group Vegan Rising has lost its charity status following an investigation by the national regulator.
The Samuel Griffith Society was established in 1992 to "defend the great virtues" of the constitution, and immediately created waves for opposition to the Mabo land-rights decision.
It has provided a platform for a long list of conservative leaders over the years.
They include Tony Abbott in 2016, and this year conservative senator Eric Abetz, along with controversial Sydney radio host Alan Jones, and former Abbott staffer Murray Cranston.
The society joins a list of politically aligned or favoured think-tanks to have been granted tax-deductibility status.
Among them are the Liberal aligned Menzies Research Centre, the conservative Centre for Independent Studies, the Labor-aligned Chifley Research Centre, and the Green Institute.
Donations to the Australia Institute and the Grattan Institute are also tax deductible.
Some right-wing think-tanks do not have tax deductibility status, including the Bennelong Society, the H.R. Nicholls Society and the Lavoisier Group.
The Samuel Griffith Society was started by former National Party senator John Stone who said at the time that his goal was to resist further expansion of the power of Canberra, which had already gone too far.
A recurring theme in the early days was the need to resign in the expansionist tendencies and power of the High Court.
The Tax Office's online database does not list the Samuel Griffith Society as having tax deductible status but the mid-year budget update released on Monday said it had been approved starting July 1, 2019.
A tax spokesperson said the website was updated once amendments to the tax law had passed both houses of Parliament and have received assent.
Meanwhile, the Australian Charities and Not-for-profits Commission on Tuesday revoked Vegan Rising's charity tax concessions and registration, which it has held since September 2017.
The group had been registered with the purpose of preventing or relieving the suffering of animals.
ACNC Commissioner Dr Gary Johns said revocation of a charity's registration was reserved for the most serious of cases.
"Our approach to regulation focuses on education and guidance first. However, when charities are unwilling to comply with their obligations, or fail to demonstrate commitment to their governance, then we will take stronger action," he said in a statement.
Although the revocation is displayed on the charity register, the ACNC is prevented from publishing the findings from the investigation, or the nature of the concerns raised, due to secrecy provisions in its governing laws.
Dozens of vegan activists obstructed the intersection of Swanston and Flinders streets in Melbourne during peak-hour on April 8, demanding an end to animal husbandry.
They used three rental vans as part of the blockade, chanting for "animal liberation", with some also sitting on tram tracks and linking arms to stop police attempts to break them up.
Similar protests were also staged at regional Victorian abattoirs, condemned by farmers and some politicians.
Vegan Rising's website describes the organisation as having one objective - "to help create a vegan world".
Last month the charity status was stripped from Aussie Farms, which has similar aims to Vegan Rising.
with AAP