A Pretoria court ruled that Boeremag group leader Mike du Toit was behind the nine bombings in Johannesburg’s Soweto township in 2002.
Mike du Toit is the first person to be convicted of treason in South Africa since white minority rule ended in 1994.
Analysts say race relations in South Africa are still tense.
However, white extremist groups like Boeremag, which means Afrikaner Power in Afrikaans, have very little support, they say.
The Pretoria High Court handed down its verdict against Mike Du Toit, a former academic, following a nine-year trial.
Judge Eben Jordaan said Mike Du Toit had authored a blueprint for revolution intended to evict black people from most of South Africa and to kill anyone who got in the way, the South African Press Association reports.
Witnesses told the court that Boeremag had carried out a spate of bombings in Soweto in 2002, killing one person.
The Boeremag had also planned to stage a coup and assassinate Nelson Mandela, who spent 27 years in prison before being elected president in 1994 and acted as a unifying force after decades of white-minority rule.
The group also intended to shoot whites who opposed their vision of a racially pure nation, the witnesses said.
More than 20 other suspects were on trial with Mike Du Toit, but the court has not yet ruled on their fate.
Nearly 200 people gave evidence for the state – including police informants within Boeremag.
Nelson Mandela stood down as South Africa’s president in 1999 after serving one term, handing over to Thabo Mbeki.
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