"It borders on the emotional statements of [ANC Youth League president] Julius Malema and does not contribute to the debate on how to address the country’s economic problems properly," FF Plus spokesperson Anton Alberts said.
Tutu, who spoke at a book launch at the University of Stellenbosch in Cape Town on Thursday evening, said the damage apartheid caused was impossible to escape.
He said white citizens needed to accept the obvious: "You all benefited from apartheid."
"Your children could go to good schools. You lived in smart neighbourhoods. Yet so many of my fellow white citizens become upset when you mention this. Why? Some are crippled by shame and guilt and respond with self-justification or indifference.
"Both attitudes make that we are less than we can be."
The Cape Argus spoke to Tutu after the speech, where he expanded on his wealth tax call.
“There were many in the white community who were ready for this [at the time of the TRC process].
“It could be quite piffling, maybe 1% of their stock exchange holdings. It’s nothing. But it could have helped... maybe building new homes, and that would have been an extraordinary symbol of their readiness.”
Asked whether he was again calling for a “wealth tax”, Tutu said: “That’s what I’m saying.”
He then laughed: “What were you doing in there [the conference centre]? Were you listening?”
Tutu said he hoped whites themselves would “agitate” for it to be imposed upon them.
However Alberts said in a statement it was improper to single out white people as they have contributed disproportionately more to the fiscus than any other group for the past 17 years.
"The request for introspection and a greater moral contribution should instead be addressed to the ANC government itself."
Tutu’s race argument was so much more immoral if taking into account the fact that there were already more than 600 000 poor whites, he said.
"Taxes levied on white people will merely be damaging social cohesion and will not contribute anything toward a sustainable economy."