The Central Land Council has pledged to work closely with the Albanese government in its second term to progress the commitments in the National Agreement on Closing the Gap.

The CLC welcomed Prime Minister Anthony Albanese's commitment in his election night speech to supporting the empowerment of First Nations people "because we will be a stronger nation when we close the gap between Indigenous and non-Indigenous Australians".

"I congratulate Prime Minister Anthony Albanese and look forward to meeting him and the Minister for Indigenous Australians to ensure everything that can be done is being done with respect to the sky-high cost of living, lack of real jobs and overcrowded and dilapidated houses," CLC chair Warren Williams said.

"Residents urgently need relief from high grocery, fuel, electricity, and transport costs, along with a substantial increase in the remote area allowance, which has not been adjusted in 25 years".

The Land Council said on Tuesday that through its membership in the Coalition of Peaks and Aboriginal Peak Organisations NT, it will continue to support "resetting the National Agreement on Closing the Gap" to address the productivity and Aboriginal and Torres Strait Islander led reviews.

The CLC also welcomed the treasurer's commitment to finalising a First Nations Economic Empowerment Partnership with the Coalition of Peaks, which it said "needs to focus strongly on building blocks such as employment".

The Land Council called for "a significant shift" in the policies and programs surrounding remote employment services, "focusing on job creation, strengthening community control and ensuring greater accountability and reporting".

The CLC said that while introducing 3,000 jobs through the Remote Jobs and Economic Development program is "an important part of the reform effort and a welcome first step", it is clear more jobs are needed to support the approximately 40,000 people who will not get a job through the current RJED program.

The Land Council said it looks forward to working constructively with Mr Albanese and Minister Malarndirri McCarthy to progress Indigenous policy priorities.

"Together, we hope to strengthen outcomes for our communities, support self-determination, and ensure Aboriginal voices continue to shape the decisions that affect our lives," Mr Williams said.

Country Liberal senator for the NT and Opposition spokesperson for Indigenous policy, Jacinta Nampijinpa Price, has been a vocal critic of the Central Land Council, and vowed to conduct an audit of land councils and Indigenous organisations if the Coalition won office.