After a majority of users voted for him to quit, Musk said that he would only allow accounts with a blue tick to vote.
57.5% of users voted "yes" to Mr Musk's suggestion that he should step down as CEO.
He hasn't commented on the results of the poll since then.
He said that the company's rules would be changed so that only people who pay for a subscription could vote.
The user said that the bots voted heavily in the poll about Mr Musk's role at the firm. Mr Musk was intrigued by the claim.
When he ran the poll, the billionaire said he would abide by the results. He will remain as the owner of the company if he quits as CEO.
Bruce Daisley was the former vice president of the social networking site. He said that Musk is going to be in the back of the room whenever he wants.
It's not clear what Mr Musk's intentions are. CNBC said on Tuesday that Mr Musk is looking for a new chief executive, but Mr Musk replied with two laughing emojis.
The only ones who should be able to vote in policy polls are the people who subscribe to the blue service. We actually have skin in the game, Mr Musk said.
After it was paused, the paid-for verification feature was rolled out again last week. The service costs $8 per month, or $11 for people who use theTwitter app on Apple devices, and gives subscribers a blue tick.
A blue tick used to be free to use for high-profile accounts.
Mr Musk had a poll on his future. The majority of users supported him stepping down.
He replied to a user suggesting that there was no replacement chief executive lined up, saying that no one wanted the job. There isn't a new person.
Since he took over the site, the technology tycoon has faced a lot of criticism.
He has quoted a Latin phrase which means "the voice of the people is the voice of God" in the past.
Mr Musk tried to back out of the deal to buy the company.
Civil liberties groups have accused him of taking steps that will increase hate speech since he took control.
He was condemned by the United Nations and European Union over the suspension of some journalists. Half of the staff at the micro-messaging service has been fired.
Through Mr Musk's activity, Mr Daisley said you could get a hint about what he was thinking.
He said that he seems to be quibbling with the vote
Most of Mr Musk's wealth is in his electric car company. The company's shares have lost more than 60 percent of their value this year.
The third largest shareholder in the company called on Mr Musk to step down.
"Tesla has no working CEO and Eleon abandoned the company." He said that the company needs to have a full-time CEO.
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