The prime minister's confirmation that Gillian Triggs will not be reappointed as President of the Human Rights Commission is the final indignity in a sustained campaign against an eminent Australian.

"Professor Triggs has faced a series of deliberate, politically motivated attacks for nothing more than doing her job," Greens Justice spokesperson Senator Nick McKim said.

"Having failed to induce Professor Triggs to resign, the government has resorted to sacking her."

"She should regard the way she has been treated as a badge of honour."