“Their rhetoric is anti-elite, and yet they clearly and definably are the elite,” he wrote.
“Let me be clear: the song Tubthumping was written to celebrate the resilience and tenacity of working-class folk who keep fighting when the chips are down.
“It has nothing whatsoever in common with wealthy politicians with extremist anti-liberal agendas.”
Chumbawamba singer Dunstan Bruce said this week that the band had asked its record label to intervene with a cease and desist letter.
Peters has denied that he has been asked by the anarchist punk band to stop playing their best-known song at his rallies.
At the same rally, he likened Te Pāti Māori statements to Nazi Germany.
Tubthumping, with its popular refrain “I get knocked down, but I get up again” was released in 1997. Chumbawamba, which described itself as anarcho-communist, broke up in 2012.
The band had previously expressed surprise when UK Independence Party leader Nigel Farage had used the song at a rally in 2011.
In his op-ed, Whalley said the band had also warned Trump about using the song when he was first running for president, sending him a cease and desist letter.
“Which all makes it all the more obvious that, simply, the right doesn’t have any good songs. That’s why they keep trying to nick ours.”