Hundreds of people have already signed an online petition calling for Colin Brewer to resign his newly won place on Cornwall Council.
The controversial councillor resigned in February after a standards board investigation over his comment that disabled children should be put down because they cost the authority too much.
To the dismay of campaigners and disabled charities, Mr Brewer was narrowly re-elected to his Wadebridge East seat last week. Disability Cornwall said it was "shocked beyond words" while Mencap labelled it "horrifying".
Now, a petition on the Government's website has attracted more than 900 supporters. And a new Facebook page titled "Collin Brewer Should Resign Again" has gained 470 followers since going live on Friday.
James Ball wrote: "I set this Facebook group up after he was re-elected and was very upset that after his comments he wanted to stand again and thought the Cornish people would forget what he had said and let him get away with it.
"He can't be that arrogant and think we are all going to sit back and let him carry on.
"This man should not be in power of any kind and if we get him to resign again it will show that we will not stand for this kind of behaviour."
Mr Ball, from Troon near Camborne, who has to use a wheelchair after damaging his hips and knees through years of playing rugby and working in the building trade, said he was shocked that Mr Brewer was voted in again.
"Just because you have a disability does not mean you are a drain, you can do just as much you just find a different way of doing it," he said.
Calling on the Government to ask Mr Brewer to stand down, the e-petition reads: "This man does not deserve to be in a position of power for his disgusting comments about disabled children. You should ask him to resign or get his council to fire him."
The results of Thursday's poll, in which Mr Brewer beat Liberal Democrat Stephen Knightley by just four votes, were read out amid calls of "shameful" and "you are a disgrace".
Mr Brewer, who could not be contacted for comment yesterday, said he had stood for re-election let the people of Wadebridge pass judgement on his actions.
He said:"I had to resign at the time because of the media pressure but I felt it was right the people of Wadebridge should decide on my future and they have decided.
"I've done nothing wrong – I've apologised. The people in Wadebridge wanted me to stand and I'm proud to stand for them.
"(The comment) was completely out of character because I had a series of strokes, people are more susceptible to flaring up if something annoys them."