Economic freedom fighters are not intimidated by President Jacob Zuma, suspended ANC Youth League spokesperson Floyd Shivambu said on Thursday.
"If he thinks that we are intimidated by threats to take action, he must know that we are not," he said in a statement.
"Zuma said that there were people involved in the incitement of violence... and threatened to take action very soon."
Whatever action is taken should be legal, warned Shivambu.
He was responding to Zuma's comments in Parliament earlier on Thursday relating to protests by mine workers.
Zuma told MPs in Parliament, in an apparent reference to expelled ANC Youth League leader Julius Malema, that action would be taken against those suspected of inciting violence.
Zuma said it was not just the striking miners who were engaged in such "unacceptable" activity.
"It is also some people of some description who are going there to instigate miners to operate in a particular way," said Zuma.
"It can not be accepted. And therefore we are looking into that; we are going to be acting very soon."
Earlier this week, Malema called on mine workers to engage in a mass national strike,
Last month, 34 striking workers at Lonmin's Marikana mine were gunned down by police. Another 78 were injured. Workers were demanding a wage increase of R12 500.
Workers at Gold Fields' KDC west mine and Amplats' Thembelani mine also embarked on protests, demanding higher salaries.