Nova Peris has accepted what she called a "genuine and remorseful" letter of apology from a NSW chiropractor who was found guilty of posting abusive and racist comments about the former Labor senator on Facebook.

In her Twitter post, Ms Peris said she accepted the apology and hoped Chris Nelson, 64, reconciled with his family.

Nelson's letter said his actions had brought "shame" to himself and his family.

"My outburst of malicious foul language is inexcusable and on reflection I cannot believe that I was responsible," the letter read.

"I cannot explain my actions.

"Suffice it to say I apologise to Ms Peris, her family and the Aboriginal community.

"It will never happen again.

"I hope the wider community have learnt from my misgivings to embrace all cultures and treat them equally."

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On July 5, Nelson was given an eight-month suspended jail sentence for his comments about the retired senator.

Among the comments he posted was: "Go back to the bush and suck on witchity [sic] grubs and yams."

"You were only endorsed by Juliar because you were a black c***," the comments read.

Nelson, who is based at Woy Woy, was arrested at his business in May after making the comments about the Northern Territory Senator, which went viral.

At the time he denied he was responsible, saying his account was hacked, but later made admissions to police.

On her own social media accounts, Ms Peris labelled the comments as "racist and vile hatred".

Earlier this year, Ms Peris announced she would not re-contest her Senate seat at the upcoming election.

After the online abuse was made public, Ms Peris said she would continue to call out and fight racism.

She said no one had the right to make anyone else feel threatened or discriminated against.