Mr Abbott had backed the Western Australian government's decision to close the communities and move about 1000 people living in them, saying "what we can't do is endlessly subsidise lifestyle choices".
The coleaders said the Maori Party was formed in response to "discriminatory actions" by a previous Government - a reference to the Labour Party's Foreshore and Seabed Act.
"The Maori Party shares the pain of Australia's First Peoples who face losing their connection to their ancestral land and the destruction of their communities as a result of Government actions."
They also said it was against the UN Declaration on the Rights of Indigenous Peoples, signed by Australia in 2009, which states that the rights of indigenous people to their lands and resources should be protected. It also states that any "forced population transfer" which undermines those rights should be prevented or compensated for.
"Mr Abbott, your government's actions constitute a return to the flawed policies of the past and will result in the loss of basic human rights such as access to clean water and the right to choose where to live."
Mana leader Hone Harawira has also raised the issue in a statement in which he described the policy as "genocide".
Mr Harawira, who was in Canberra for Anzac week, had described former Australian Prime Minister John Howard as "a racist bastard" in 2007 after introducing an intervention plan for aboriginal communities in the Northern Territory. He said Mr Abbott's actions earned him the same title.
Mr Harawira said the Convention of the Prevention of Genocide included transferring children and taking actions to bring about the destruction of a group, such as removing basic services. Mr Harawira said the last time he was in Canberra was in 2008 when former Prime Minister Kevin Rudd apologised for the policies of the Stolen Generation.