Northern Territory Senator Malarndirri McCarthy has been sworn in as Labor's federal Minister for Indigenous Australians.

The Yanyuwa woman from the Gulf country was re-elected as one of the NT's two Senators last Saturday and will continue in the Indigenous affairs portfolio she first took charge of after the retirement of Linda Burney last year.

Writing on Facebook, she said she was honoured to be reappointed as Minister.

"As a Yanyuwa Garrawa woman from Borroloola, I feel a deep responsibility to deliver on building a stronger future for our next generation," Senator McCarthy said.

"A heartfelt Thank you to all those who have placed their trust in me."

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A post shared by Senator Malarndirri McCarthy (@malarndirri)

On Instagram, she posted a picture alongside Indigenous MP Marion Scrymgour, who won the seat of Lingiari with an increased majority in the recent election, and who has been promoted to special envoy for remote communities.

"Remote communities turned out to vote in support for Labor," she said.

"They saw our commitment and vision - and the Prime Minister has seen it too, appointing my friend and colleague Marion Scrymgour MP as Special Envoy for Remote Communities."

Senator McCarthy said Labor's next term would focus on "economic empowerment, boosting employment, increasing food security and improving housing and critical infrastructure".

Writing in National Indigenous Times before the election, Senator McCarthy said both she and Labor are "ambitious for First Nations people".

"We are delivering substantial investments in health, in education, in housing, in jobs and economic empowerment, and in community-led justice reinvestment initiatives, but we know the job is far from done," she wrote.

"Crucially, our government is committed to working in partnership with First Nations communities and First Nations organisations, including through the Coalition of Peaks."