"I regarded each white person as my oppressor," Tshukudu told the commission's amnesty committee on the third day of its hearings in Kroonstad.
Tshukudu, an African National Congress member, was jailed for nine years for his unprovoked attack on Grobler with a sheep shear blade in October 1992.
Now 26, he has applied for amnesty on the grounds that he committed the murder in order to convince "the illegitimate regime to abolish the apartheid system".
He said he had been taught by the ANC that blacks were not recognised by the government. "We had to fight for ourselves so that we could be heard."
Tshukudu, who has a previous housebreaking conviction, was on the run from the police when he and two friends met Grobler standing in a street in Maokeng on October 30, 1992.
"As I was wearing a combat jacket with ANC badges he asked me whether I was the leader. What he said gave me an indication he was one of the people looking for me," Tshukudu testified.
He didn't respond to Grobler's question. Instead, he took out his blade and stabbed him three times.
"He ran away and I couldn't catch him."
Grobler, who had been given the nick-name Thabo by township residents, later collapsed and died.
Asked what had prompted him to attack Grobler, Tshukudu said: "I was looking at my enemy.
"I was still young. The decision I took was because of the experience I had. I thought by doing this it would be an indication to the existing system.
"My political understanding at the time told me all that white people were my enemies."
Committee member Judge Andrew Wilson said a State witness in Tshukudu's trial had alleged he had stabbed Grobler for refusing to hand over cigarettes and money.
In terms of the legislation governing the commission, the committee is empowered to grant amnesty to people who committed acts associated with a political objective and who make a full confession.