A Cornwall Council member who said disabled children "should be put down" is under fresh pressure to stand down from his role.
The new leader of Cornwall Council, John Pollard, described Collin Brewer's position as "untenable".
Mr Brewer already stood down once from Cornwall Council after his initial comments came to light. He was re-elected on May 2 but came under new pressure after he then compared disabled children to deformed lambs killed at birth.
Mr Brewer, who represents Wadebridge East, is currently under investigation by Cornwall Council over his comments which have been condemned by disability groups.
In an interview at County Hall yesterday Mr Pollard said at first: "Whether Collin Brewer resigns or not is a matter for him."
When pressed on the issue of what Mr Pollard would like to see happen he replied: "I think his position is untenable."
Mr Pollard insisted that Cornwall Council's investigation process would be properly followed.
Devon and Cornwall Police are also looking into the comments made by Mr Brewer and whether they constituted a criminal offence.
Mr Brewer is understood to be on sick leave from Cornwall Council.
