According to YouGov poll, Home Secretary Sajid Javid is the second most-preferred Conservative politician, with 19 percent of the British believing that he would make a good head of the government.
Sixteen percent think that Secretary of State for Environment Michael Gove would make a good prime minister.
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Foreign Secretary Jeremy Hunt and Andrea Leadsom, who earlier this week stepped down as Leader of the House of Commons, the parliament's lower chamber, are tied at 13 percent.
However, Johnson is also listed as the person whom 54 percentage of the British think likely to be a bad prime minister, whereas only 30 percent think that of Javid. Gove is described as a potentially bad head of the government by 47 percent and Hunt by 42 percent.
May said earlier in the day that she would step down on 7 June but continue serving as prime minister until a new party leader was elected. In an emotional farewell speech, May said she regretted that she had not delivered Brexit and stressed that her successor would have to find consensus in the parliament.