On Thursday it rejected as ridiculous his call on Afrikaners to accept the TRC as a vehicle to unburden their guilt about the past.
"Tutu's outburst has confirmed his bias against whites. He is an absolute enemy of whites, and Afrikaners in particular," CP spokesman Pieter Aucamp said in a statement in Pretoria.
He adjured Tutu to not forget that the lives of many people were destroyed by landmine and bomb explosions during the apartheid years.
"Whether Tutu likes it or not, the Afrikaner rejects the TRC. We don't have to apologise for having built South Africa into a first-world country, where crime was under control," Aucamp said.