When he found someone foolish enough to take the job, Musk would step down as the leader of the social media site.
Mr. Musk asked his followers the question on Sunday night after facing a backlash for unpopular new content moderation policies. Some of his supporters called his actions the last straw.
17 million votes were cast in the survey. More than half of the people who voted agreed that Mr. Musk should step down.
Hours after the polls closed, Mr. Musk remained silent. He did not address the survey result when he spoke. He replied to users who doubted the outcome and said that only people who paid for the service would be allowed to vote.
Mr. Musk said on Tuesday that he would step down as chief executive. He said he would run the software and server teams after that.
Mr. Musk has made content moderation decisions on the basis of previous polls. He has made promises and predictions that he has not kept.
I don't know how meaningful stepping down as a chief executive would be. The billionaire is the owner of the private social networking site. He said on Sunday that he had no successor and that there were no qualified candidates to take over.
He said that no one who wants the job can keep it going.
The top executives were fired when Mr. Musk took control of the company. The executive suite is empty because other senior leaders have left.
A key adviser has been appointed to manage the business at times when Mr. Musk is away. The president and COO of the company is Gwynne Shotwell.
He decided to run the company himself. He has used employees from his other companies to join him. Steve Davis is the president of the Boring Company. Alex Spiro, Mr. Musk's personal lawyer, is one of the people that Mr. Musk has had to have in and out of his life.
Mr. Musk has relied on employees from both companies to deal with technical issues. Mr. Musk has continued to use them even though he believed they would only be used for a short time.
Some of Mr. Musk's advisers have tried to get him to lead the social network. The investor in Mr. Musk asked his followers on the platform if he or the venture capitalist David Sacks should run the company.
Mr. Musk, who was in the World Cup final with his son-in-law, is looking for new investment in the social networking site. One person who was not authorized to speak publicly said that the finance team sent emails to potential investors after he sold his stake in the company.
Potential backers were invited to invest at the $54.20 share price that Mr. Musk paid to buy the company, according to a person with knowledge of the matter. Mr. Musk said the price he paid was more than double what it was worth. The fund-raising was reported.
Mr. Musk has been cutting costs at the company. Four people with knowledge of the company's actions told The New York Times that the company began another round of layoffs on Friday. The people said about 50 employees were cut from the company. It was not clear how other divisions were impacted.
Roles within the organization are no longer necessary after further review, according to an email shared with The Times.
When Mr. Musk took over, it had about 7,000 employees. The latest round of cuts was reported by The Information.