France's National Front party founder Jean-Marie Le Pen says he is "ashamed" his daughter - current party leader Marine - still bears his surname.
Amid a growing feud, Le Pen said he hoped she "would get married as quickly as possible so as to change her name".
He added he would not support Marine in presidential elections in 2017.
His remarks came after the far-right party suspended Le Pen, 86, after he repeated his view that the Holocaust was "a detail of history".
Marine Le Pen, 46, has been trying to steer the National Front (FN) away from its racist and anti-Semitic past.
Ms Le Pen's view is that FN's growth is being held back by memories of what it used to be, and that to move to the next level it must cut itself free from its past, the BBC's Hugh Schofield in Paris reports.
Speaking to France's Europe 1 radio, Le Pen said: "I was hoping that the president of the National Front would get married as quickly as possible so as to change her name.
"Because I'm ashamed that she has the same surname as me."
Asked if he would still be supporting his daughter in the presidential elections, Le Pen answered: "Not for the moment."