The Healthy Britain survey revealed 76% of respondents supported the ban, with 81% of those from the 65-plus age range and 60% of 18- to 24-year-olds.
Nearly two-thirds of the survey group would support a ban on supermarkets displaying sweets at check-outs, with 67% of parents having voiced their support for such a ban.
More than a third were in favour of tax on food high in salt, sugar and fat and 60% were opposed to the idea.
The survey also revealed nine out of 10 members of the public would back increased government funding to extend free fruit and vegetables to all school children.
Women were more supportive of the initiative, with 82% backing the idea compared with 78% of men.
The Healthy Britain survey was conducted by the ICM for the BBC and polled more than 1,000 adults in the UK.
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