McClelland served as Australia's top law officer in the Rudd government from 2007 to 2011. He has been deputy chief justice of the Federal Circuit and Family Court of Australia since 2018, after being appointed to the court by the then Coalition government in 2015.
Brereton, the commission's first leader, resigned in May, saying at the time that criticism of him was “drawing attention away” from the body's purpose.
Rowland said McClelland had been chosen through an open, competitive and merit-based selection process.
“I congratulate deputy chief justice McClelland and Mr Savundra on their proposed appointments,” Rowland said. “Deputy Chief Justice McClelland and Mr Savundra's expertise will be an asset to the commission, and I have confidence in their ability to contribute to its important work to enhance integrity across the Commonwealth public sector.”